Personal Profile

Name:              Bijan Davvaz

Date of Birth:   03/13/1964

Gender:            Male

Nationality:      Iranian

Contact Information

Office Address:  Department of Mathematics,  Yazd University,  P.O.Box 89195-741, Yazd,  Iran

 Email:                davvaz@yazduni.ac.ir

                                   bdavvaz@yahoo.com

Education

1983-1988:   B.Sc. studies in applied mathematics at Shiraz University.

1988-1990:   M.Sc. studies in mathematics at University of Tehran under the supervision  

                     of Professor  M.R.  Darafsheh. (Title of thesis: Simple groups

1994-1997:   Ph.D. studies in mathematics at the Tarbiat Modarres University under the

                     supervision of Professor M.R. Darafsheh. (Title of thesis: Topics in Algebraic  Hyperstructures)

Academic Positions

1990-1994:    Lecturer, Yazd University.

1995-1998:    Student Researcher, Institute for Studies in Theoretical Physics and  Mathematics.

1998-2002:    Assistant Professor, Yazd University.

2002-2006:    Associated Professor, Yazd University.

2006-Present: Full Professor, Yazd University.

Academic Services

1998-2002:    Head of Department of Mathematics, Yazd University.

2004-2006:    Chairman of Faculty of Science, Yazd University.

2006-Present: Vice President for Research, Yazd University.

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Teaching Experiences

Undergraduate Courses

Calculus 1, Calculus 2, Calculus 3, Differential Equation, Partial Differential Equation, Engeneering Mathematics, Algebra1, Algebra 2, Algebra 3, Linear Algebra, Number Theory, Galois Theory, Mathematical Logic.

Graduate  Courses

Advanced Algebra, Commutative Algebra, Finite Groups, Infinite Groups, Linear Groups, Lie Algebra, Group Representation Theory, Algebraic Hyperstructure Theory

Scientific Visits

·        December 2005: Visiting Udine University, Udine, Italy (Grant of visiting professor in Italy, supported   by Istituto Nazionale Di Alta Matematica Francesco Severi).

·        July 2007: Visiting Karadeniz Technical University, Trabzon, Turkey (Grant of visiting professor in Turkey, supportad by TUBITAK-BIDEB).

·        March 2008: Visiting Udine University, Udine, Italy (Grant of visiting professor in Italy, supported by Istituto Nazionale Di Alta Matematica Francesco Severi).

Research Interests

I am interested in group theory, ring theory, module theory and their applications,  algebraic hyperstructure theory, fuzzy sets, fuzzy logic, rough sets, probability theory and combinatorics.

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Member of Editorial Board

·        International Journal of Mathematics and Analysis  (Editor in Chief)

·        Quasigroups and Related Systems

·        Global Journal of Mathematics and Mathematical Sciences

·        International Journal of Pure and Applied Mathematical Sciences

·        Advances in Algebra (AA)

·        International Journal of Computational and Applied Mathematics (IJCAM)

·        International Review of Fuzzy Mathematics

·        Iranian Journal of Mathematical Sciences and Informatics

·        Farhang va Andisheh-ye Riyazi (2005-2007)

·        Advances in Fuzzy Sets and Systems

·        Set-valued Mathematics and Applications

·        Punjab University Journal of Mathematics

·        Arab Journal of Mathematics and Mathematical Sciences

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Referring and Reviewing

·        Mathematical Reviews

·        Fuzzy Sets and Systems (Elsevier, The Netherlands)

·        Information Sciences (Elsevier, USA)

·        Journal of Computational and Applied Mathematics (Korea)

·        Pure and Applied Mathematics (Korea)

·        Bulletin of Iranian Mathematical Society (Iran)

·        Iranian Journal of Fuzzy Systems (Iran)

·        Bulletin of Malaysian Mathematical Society (Malaysia)

·        Journal of Fuzzy Mathematics (USA)

·        Discrete Mathematics

·        International Journal of Mathematics and Mathematical Sciences

·        Science Asia

·        Journal of Intelligent and Fuzzy Systems

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M. Sc. Projects Supervised

1.     H. Shabani-Solt., Topics in U-exact sequences and homological algebra, (2000).

2.     A. Koushky, Hyperrings and their properties, (2001).

3.     H. Zakeri, Quasi-projective modules, (2002).

4.     M.A. Iranshahi, On the structure of rough sets, (2003).

5.     M.A. Fotoohi Ardakani, Fuzzy vector spaces and fuzzy linear maps, (2003).

6.     A. Salasi, Approximation theorems in algebraic hyperstructures, (2003).

7.     M.M. Sadeghi, Some topics in finite rings, (2004).

8.     A.H. Sepahan-Fard, Finite weak hyperstructures, (2004).

9.     M. Karimian, Strongly regular equivalence relations on hypergroups, (2004).

10. A. Pourmahdi Brojeni, n-ary semigroups, (2004).

11. M. Mahdavipour, Topics in lower and upper approximations on certain sets, (2005).

12. M. Rahimi Bafghi, Homomorphisms in topological nearrings, (2005).

13. Rasoli, Topics on MV-modules, (2006).

14. M.R. Simi, Partial abelian semigroups, (2006).

15. M. Mirolahi Bafghi, Hypergroups of type U, (2006).

16. Mona Taheri, Multialgebras and fundamental relations, (2006).

17. N. Amidi Monfared, Topics in regular rings, (2007).

18. Z. Mozafar, Representation of fuzzy Lie algebras, (2007).

19. D. Heidari, Probability theory on MV-algebras, (2007).

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Ph.D. Projects Supervised

1. S.M. Anvariyah, Hypermodules and fundamental modules, (2008).

2. S. Mirvakili, Hypergroups, hyperrings and fundamental relations, (2008).

Publications: Research Papers

1998

1.  B. Davvaz, Rough sets in a fundamental ring,  Bull. Iranian Math. Soc., 24 (2) (1998)49-61.

2.  B. Davvaz,  On Hv-rings and fuzzy Hv-ideals, J. Fuzzy Math., 6(1) (1998) 33-42.

3.  B. Davvaz,  On Hv-subgroups and anti fuzzy Hv-subgroups, Korean J. Compu. Appl. Math., 5(1) (1998) 181-190.

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1999

 4.  B. Davvaz,  Fuzzy Hv-groups, Fuzzy Sets and Systems, 101 (1999) 191-195.

5.  M.R. Darafsheh and B. Davvaz, Hv-ring of fractions, Italian J. Pure Appl. Math., 5

 (1999) 25-34.

6.  B. Davvaz,  Lower and upper approximations in Hv-groups, Ratio Math., 13 (1999)

     71-76.

7. B. Davvaz and Y.A. Parnian-Garamaleky, A note on exact sequences, Bull. Malaysian

    Math. Soc. (Second Series ) 22 (1999) 53-56.

8.  B. Davvaz, Interval-valued fuzzy subhypergroups, Korean J. Compu. Appl. Math., 6(1)

    (1999)  197-202.

9.  B. Davvaz, On hypernear-rings and fuzzy hyperideals, J. Fuzzy Math., 7(3) (1999)

     745- 753.

10. B. Davvaz and N. Shajareh-Poursalavati,  On polygroup hyperrings and representation

      of polygroups, J. Korean Math. Soc., 36(6) (1999) 1021-1031.

11. B. Davvaz, Some results on L-fuzzy Hv-ideals, Pure Math. Appl., 10 (1999) 31-40.

12. B. Davvaz, Remarks on weak hypermodules, Bull. Korean Math. Soc., 36(3) (1999)

     599-608.

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 2000

13.  B. Davvaz,  Hv-near rings, Math. Japonica, 52(3) (2000) 387-392.

14.  B. Davvaz,  On polygroups and permutation polygroups, Math. Balkanica (N.S.),

       14(1-2) (2000) 41-58.

15.  B. Davvaz,  Product of fuzzy Hv-subgroups,  J. Fuzzy Math., 8(1) (2000)  43-51.

16.  B. Davvaz,  Strong regularity and fuzzy strong regularity in semihypergroups, Korean

       J. Comput. Appl. Math., 7(1) (2000) 205-213.

17.  B. Davvaz, Fuzzy hyperideals in semihypergroups, Italian J. Pure Appl. Math., 8

       (2000) 67-74.

18. B. Davvaz, On fuzzy relations and fuzzy subhypergroups, Pure Math. Appl., 11(1)

      (2000) 51-58.

19.  B. Davvaz,  Fuzzy sets and probabilistic rough sets, Int. J. Sci. & Technol. Univ.

       Kashan, 1 (2000)  23-28.

20.  B. Davvaz, Properties of the T-fuzzy subhypergroups, Punjab Univ. J. Math. (Lahore)

       33 (2000) 7-16.

21. B. Davvaz and N. Shajareh-Poursalavati, Semihypergroups and S-hypersystems, Pure

      Math. Appl., 11(1) (2000) 43-49.

22. B. Davvaz, Some results on congruences in semihypergroups, Bull. Malays. Math.

       Soc. (2), 23 (2000) 53-58.

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2001

23. B. Davvaz,  Fuzzy Hv-submodules, Fuzzy Sets and Systems, 117 (2001) 477-484.

24. B. Davvaz, Mohammad A. Iranmanesh and M. Farshi, Matroid hypergroups defined on

      the same set,  Jour. Inst. Math. & Comp. Sci. (Math. Ser.), 14(2) (2001) 87-95.

25. B. Davvaz and M. Ghadiri,  Weak equality and exact sequences in Hv-modules,

      Southeast Asian Bull. Math., 25(3) (2001) 403-411.

26. B. Davvaz and S.M. Anvariyeh,  Generalized flat R-modules, Jour. Inst. Math. &

      Comp. Sci. (Math. Ser.), 14(3) (2001) 225-230.

27. B. Davvaz, On Hv-groups and fuzzy homomorphisms, J. Fuzzy Math., 9(2) (2001)

      271-278.

28. B. Davvaz,  Product of fuzzy Hv-ideals in Hv-rings, Korean J. Compu. Appl. Math.,

      8(3)  (2001) 685-693.

29. B. Davvaz,  Fuzzy Lie algebras, Intern. J. Appl. Math., 6(4) (2001)  449-461.

30. B. Davvaz, Polygroups with hyperoperators,  J. Fuzzy Math., 9(4) (2001) 815-823.

31. B. Davvaz, Fuzzy ideals of near-rings with interval valued membership functions,

      J. Sci. I.R. Iran, 12(2) (2001)  171-175.

32. B. Davvaz, TL-subpolygroups of a polygroup, Pure Math. Appl., 12(2) (2001)

      137-145.

33. B. Davvaz,  Anti fuzzy ideals of a Lie algebra, Pure Math. Appl., 12(2) (2001)

      131-136.

34. B. Davvaz,  Interval-valued fuzzy ideals in a hyperring, Italian J. Pure Appl. Math., 10

      (2001) 117-124.

35. B. Davvaz,  On polygroups and weak polygroups, Southeast Asian Bull. Math., 25

      (2001) 87-95.

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2002

36. B. Davvaz,  Approximations in Hv-modules, Taiwanese J. Math., 6(4) (2002) 499-506.

37. B. Davvaz and H. Shabani-Solt,  A generalization of homological algebra, J. Korean

      Math. Soc., 39(6) (2002)  881-898.

38. B. Davvaz,  Partial abelian Hv-monoids, Bull. Greek Math. Soc., 45 (2002) 53-62.

39. B. Davvaz,  A note on fuzzy Lie algebras, JP Jour. Algebra, Number Theory & Appl.

      (JPANTA), 2(2) (2002) 53-62.

40. B. Davvaz, TL-ideals of a Lie algebra, Intern. Math. Journal, 2(1) (2002) 63-69.

41. S. M. Anvariyeh and B. Davvaz, U-split-exact sequences, Far East J. Math. Sci.

      (FJMS) 4(2) (2002) 209-219.

42. B. Davvaz,  F-Approximations in polygroups, Intern. Math. Journal, 2(8) (2002)

      761-763.

43. B. Davvaz,  Rough polygroups, Italian J. Pure Appl. Math., 12 (2002) 91-96.

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2003

44. B. Davvaz, Elementary topics on weak polygroups, Bull. Korean Math. Soc., 40(1)

      (2003) 1-8.

45. B. Davvaz,  A note on fuzzy Hv-submodules, J. Appl. Math. & Computing, 11(1-2)

      (2003)  265-271.

46. B. Davvaz, A study on the structure of Hv-near ring modules, Indian J. Pure Appl.

      Math., 34(5) (2003) 693-700.

47. B. Davvaz,  Rings derived from semihyperrings, Algebras Groups and Geometries,

      20(2) (2003) 245-252

48. S. M. Anvariyeh and B. Davvaz,  Quasi extension of groups, Intern. Math. Journal,

      3(5) (2003) 567-570.

49. B. Davvaz, T-fuzzy Hv-subrings of an Hv-ring, J. Fuzzy Math., 11(1) (2003)  215-224.

50. B. Davvaz and A. Dehgan-nezad, Chemical examples in hypergroups, Ratio

      Matematica, 14 (2003) 71-74.

51. B. Davvaz,  A new interpretation of subhypergroups of a hypergroup, J. Korea Soc.

      Math. Educ. Ser. B: Pure Appl. Math., 10(3) (2003) 163-169.

52. B. Davvaz and S. Iranshahi,  Empty interior and empty exterior subsets in an

      approximation space, Jour. Inst. Math. & Comp. Sci. (Math. Ser.), 16(2) (2003)

      101-103.

53. B. Davvaz,  Fuzzy fundamental groups, Pure Math. Appl., 14(1-2) (2003) 15-19.

54. G.A. Moghani, A.R. Ashrafi and B. Davvaz,  On the finite join spaces associated with

       rough sets, Pure Math. Appl., 14(4) (2003) 305-311.

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2004

55. B. Davvaz, TH and SH-interval-valued fuzzy Hv-subgroups, Indian J. Pure Appl.

       Math., 35(1) (2004) 61-69.

56. B. Davvaz and A. Koushky,  On hyperrings of polynomials, Italian J. Pure Appl.

      Math., 15 (2004) 205-214.

57. B. Davvaz,  Roughness in rings, Information Sciences 164 (2004) 147-163.

58. B. Davvaz, Isomorphism theorems of hyperrings, Indian J. Pure Appl. Math., 35(3)

      (2004) 321-331.

59. B. Davvaz,  Fuzzy subrings of fundamental rings, J. Korea Soc. Math. Educ. Ser. B:

       Pure Appl. Math., 11(2) (2004)  127-132.

60. M. Ghadiri and B. Davvaz,  Direct system and direct limit of Hv-modules, Iranian J.

      Science and  Technology, Transaction A, 28(A2) (2004)  267-275.

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2005

61. S.M. Anvariyeh and B. Davvaz,  On quasi exact sequences, Bull. Korean Math. Soc.,

      42(1) (2005) 149-155.

62. Wieslaw A. Dudek, Bijan Davvaz and Young Bae Jun, On intuitionistic fuzzy

       subhyperquasigroups of  hyperquasigroups, Information Sciences, 170 (2005)

       251-262.

63. B. Davvaz,  Characterizations of  sub-semihypergroups  by various triangular norms,

      Czechoslovak Mathematical Journal, 55(4) (2005)  923-932.

64. Eun Hwan Roh, B. Davvaz and Kyung Ho Kim,  T-fuzzy subhypernear-rings of

       hypernear-rings, Sci. Math. Jpn. 61(3) (2005) 535-545.

65. B.Davvaz,  On connection between uncertainty algebraic hyperstructures and

       probability theory, International Journal of Uncertainty, Fuzziness and Knowledge-

      Based Systems, 13(3) (2005) 337-345.

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2006

66. B. Davvaz and K.H. Kim,  Generalized hypernear-ring modules, Southeast Asian

      Bulletin of Mathematics, 30 (2006) 621-630.

67. Bijan Davvaz, Wieslaw A. Dudek and Young Bae  Jun, Intuitionistic fuzzy

      Hv- submodules, Information Sciences, 176 (2006) 285-300.

68. Kyung Ho Kim, B. Davvaz and Eun Hwan Roh,  On fuzzy hyper R-subgroups of

      hypernear-rings, Italian J. Pure Appl. Math., 20 (2006) 177-192.

69. B. Davvaz, (\in , \in vq)-fuzzy subnear-rings and ideals, Soft Computing, 10 (2006)

      206-211.

70. B. Davvaz,  Groups in polygroups, Iranian Journal of Mathematical Sciences and

      Informatics,  1(1) (2006) 25-31.

71. B. Davvaz,  A new view of approximations in Hv-groups, Soft Computing, 10(11)

      (2006) 1043-1046.

72. B. Davvaz and A. Salasi,  A realization of hyperrings, Communications in Algebra,

      34(12) (2006) 4389-4400.

73. B. Davvaz and T. Vougiouklis,  n-Ary hypergroups, Iranian Journal of Science and

      Technology, Transaction A, 30 (A2) (2006) 165-174.

74. B. Davvaz and P. Corsini,  Generalized fuzzy hyperideals of hypernear-rings and many

      valued implications, Journal of Intelligent and Fuzzy Systems, 17(3) (2006) 241-251

75. H. Torabi, B. Davvaz and J. Behboodian, Fuzzy random events in incomplete

       probability models}, Journal of Intelligent and Fuzzy Systems, 17(2) (2006) 183-188.

76. B. Davvaz and P. Corsini, Generalized fuzzy sub-hyperquasigroups of

       hyperquasigroups, Soft Computing, 10(11) (2006) 1109-1114.

77. B. Davvaz,  Roughness based on fuzzy ideals, Information Sciences, 176 (2006)

       2417-2437.

78. B. Davvaz and P. Corsini,  Generalized fuzzy polygroups, Iranian J. Fuzzy Systems,

      3(1) (2006) 59-75.

79. B. Davvaz and M. Mahdavipour,  Roughness in  modules, Information Sciences, 176

     (2006) 3658-3674.

80.  M. Karimian and B. Davvaz, On the gamma-cyclic hypergroups, Communications in

      Algebra, 34(12) (2006) 4579-4589.

81. B. Davvaz, Rough subpolygroups in a factor polygroup, Journal of Intelligent and

       Fuzzy Systems, 17(6) (2006) 613-621.

82. Bijan Davvaz and Wieslaw A. Dudek, Intuitionistic fuzzy Hv-ideals, Int. J. Math.

       Math. Sci. , (2006) Art. ID 65921, 11 pp.

83. B. Davvaz,  Intuitionistic hyperideals of semihypergroups, Bull. Malaysian Math. Sci.

      Soc.(2), 29(1) (2006) 203-207.

84. B. Davvaz,  Erratum to: "On quasi-exact sequences" [Bull. Korean Math. Soc. 42(1)

     (2005), no. 1, 149-155] by S. M. Anvariyeh and Davvaz., Bull. Korean Math. Soc.

     43(1) (2006) 225.

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 2007

 85. B. Davvaz and M. Karimian,  On the gamma_n^*-complete hypergroups, European

      Journal of Combinatorics, 28 (2007) 86-93.

86. B. Davvaz and P. Corsini,  Redefined fuzzy Hv-submodules and many valued

      implications, Information Sciences,  177(3) (2007) 865--875.

87. B. Davvaz and T. Vougiouklis,  Commutative rings obtained from hyperrings

      (Hv-rings) with alpha^*-relations, Communications in Algebra, 35 (2007) 3307-3320.

88. B. Davvaz,  Applications of the \gamma^*-relation to polygroups, Communications in

       Algebra, 35 (2007) 2698-2706.

89. B. Davvaz, Extensions of fuzzy hyperideals in  Hv-semigroups, Soft Computing, 11

       (9) (2007) 829-837.

90. B. Davvaz and P. Corsini,  Fuzzy n-ary hypergroups, Journal of Intelligent and Fuzzy

      Systems, Journal of Intelligent and Fuzzy Systems 18(4) (2007) 377-382.

91. Jianming Zhan, Bijan Davvaz and  K.P. Shum, Isomorphism theorems of

      hypermodules, Acta Mathematica Sinica (Chinese Series), 50(4) (2007) 909-914.

92. Jianming Zhan, Bijan Davvaz and K.P. Shum,  On fuzzy isomorphism theorems of

       hypermodules, Soft Computing, 11 (2007) 1053-1057.

93. H. Torabi, B. Davvaz and J. Behboodian, Inclusiveness measurement of random events

       using rough set theory, International Journal of Uncertainty, Fuzziness and

       Knowledge-Based Systems, 15(4) (2007)  483-491.

94. Jianming Zhan, Bijan Davvaz, K.P. Shum,  A new view of fuzzy hypermodules, Acta

      Mathematica Sinica (English Series), 23(8) (2007) 1345-1356.

95. Jianming Zhan and B. Davvaz, On fuzzy H-ideals with operators in Hemi-rings,

       Northeast Math. J., 23(1) (2007) 1-14.

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 2008

96. Jianming Zhan and B. Davvaz,  On properties of fuzzy Hv-submodules of Hv-modules

      with t-norms, Southeast Asian Bull. Math., 32 (2008) 805-822.

97. Bijan Davvaz,  Jianming Zhan, K.P. Shum,  Generalized fuzzy Hv-ideals of Hv-rings,

      Int. J. General Systems,  37 (3) (2008) 329-346.

98. B. Davvaz and M. Mahdavipour, Lower and upper approximations in a general

      approximation space}, Int. J. General Systems, 37 (3) (2008) 373-386.

99. S. M. Anvariyeh,  S. Mirvakili   and  B. Davvaz, theta^*- Relation  on hypermodules

      and fundamental modules over commutative fundamental rings, Communications in

      Algebra, 36(2) (2008) 622--631.

100. B. Davvaz,  Approximations in n-ary algebraic systems, Soft Computing, 12 (2008)

       409-418.

101. S. Mirvakili,  S.M. Anvariyeh  and  B. Davvaz,  On  alpha-relation and transitivity

       conditions of  alpha, Communications in Algebra, 36 (2008) 1695–1703.

102. V. Leoreanu-Fotea and B. Davvaz, n-hypergroups and binary relations, European

       Journal of Combinatorics, 29(5) (2008) 1207-1218.

103. Jianming Zhan, Bijan Davvaz, K.P. Shum,  A new view of fuzzy hypernear-rings,

       Information Sciences, 178 (2008)  425-438

104. Bijan Davvaz,  Jianming Zhan, K.P. Shum, Generalized fuzzy Hv-submodules

       endowed with interval valued membership functions, Information Sciences, 178(15)

       (2008)  3147-3159.

105. Osman Kazanci and B. Davvaz,  On the structure of rough prime (primary) ideals and

         rough fuzzy prime (primary) ideals in commutative rings, Information Sciences,

        178(5)(2008) 1343-1354.

106. Osman Kazanci,  Sultan Yamak and B. Davvaz, The lower and upper approximations

        in a quotient hypermodule with respect to fuzzy sets, Information Sciences, 178(10)

       (2008) 2349-2359.

107. Sultan Yamak, Osman Kazanciand  B. Davvaz,  Applications of  interval valued

        t-norms (t-conorms) to fuzzy n-ary sub-hypergroups, Information Sciences, 178(20)

       (2008) 3957-3972.

108. Xueling Ma,  Jianming Zhan, Bijan Davvaz, Young Bae Jun,  Interval valued

        (\in,\in vq)-fuzzy ideals of BCI-algebras, Information Sciences, 178(19) (2008)

        3738-3754.

 109. Jianming Zhan, Bijan Davvaz, K.P. Shum, Generalized  fuzzy hyperideals of

        hyperrings, Computers & Mathematics with Applications,  56(7) (2008) 1732-1740.

110. B. Davvaz and V. Leoreanu-Fotea, On product of fuzzy Hv-submodules, International

       Journal of Fuzzy Systems, 10 (2) (2008) 119-122.

111. B. Davvaz and Sepahan-fard, Small weak polygroups, Transaction on applied

       mathematics and nonlinear models (TAMNOM), 1(1) (2008).

112. Wieslaw A. Dudek,  Jianming Zhan,  and Bijan Davvaz,  On intuitionistic (S,T)-fuzzy

        hyperquasigroups, Soft Computing, 12 (2008) 1229–1238.

113. B. Davvaz,  Fuzzy R-subgroups with thresholds of near-rings and implication

        operators, Soft Computing, 12 (2008) 875–879.

114. B. Davvaz, A note on algebraic T-rough sets, Information Sciences, 178(16) (2008)

        3247-3252.

115. Bijan Davvaz,  Jianming Zhan, K.P. Shum, Generalized fuzzy polygroups with

       interval valued membership functions, Journal of Intelligent and Fuzzy Systems, 19(3)

       (2008)  181-188.

116. V. Leoreanu-Fotea and B. Davvaz, Roughness in   n-ary hypergroups, Information

       Sciences, 178(21) (2008) 4114-4124.

Ç 

 Accepted Papers

 117. B. Davvaz and M. Karimian,  On the gamma_n-complete hypergroups and

        KH-hypergroups, Acta Math. Sinica.

118. B. Davvaz and P. Corsini,  On (alpha , beta )-fuzzy Hv-ideals of Hv-rings, Iranian J.

        Fuzzy Systems.

119. Bijan Davvaz and  Wieslaw A. Dudek,  Fuzzy n-ary groups as a generalization of

        Rosenfeld's fuzzy groups, Journal of Multiple-Valued Logic and Soft Computing.

120. V. Leoreanu-Fotea and B. Davvaz,  Join n-spaces and lattices, Journal of Multiple-

        Valued Logic and Soft Computing.

121. Kyung Ho Kim, B. Davvaz and Eun Hwan Roh,  On hyper R-subgroups of

        hypernear-rings, Scientiae Mathematicae Japonicae.

122. M. Ghadiri,  B. N. Waphare and B. Davvaz, n-Ary Hv-Structures,  Southeast Asian

       Bull. Math.

123. B. Davvaz, Approximations in hyperrings, Journal of Multiple-Valued Logic and Soft

        Computing.

124. J. Zhan, Y.B. Jun, B. Davvaz,  On (\in , \in vq)-fuzzy ideals of BCI-algebras, Iranian

        J. Fuzzy Systems.

125. B. Davvaz, Wieslaw A. Dudek and T. Vougiouklis, A Generalization of  n-ary

       algebraic systems, Communications in Algebra.

126.  S. Mirvakili and B. Davvaz, Applications of  strongly transitive geometric spaces to

         n-ary hypergroups, ARS Combinatoria.

127. S. Mirvakili,  S.M. Anvariyeh  and  B. Davvaz, Transitivity of Gamma-relation on

        hyperfields, Bull. Math. Soc. Math. Roumanie.

128. B. Davvaz,  A survey of fuzzy algebraic, Int. J. Pure and Appl. Math. Sci. (IJPAMS).

129. S. Rasouli, D. Heidari  and B. Davvaz, eta-Relations and Transitivity Conditions

         Of eta on Hyper MV-algebra, Journal of Multiple-Valued Logic and Soft Computing.

130. B. Davvaz, P. Corsini and V. Leoreanu-Fotea, Fuzzy n-ary subpolygroups,

       Computers & Mathematics with Applications.

Ç 

Expository Papers in Persian Language

1. B. Davvaz,  A short note on Hv-group theory,  Gulchin-i Riyazi, J. Math.-Stat., 5

     (1997) No. 2, 23-35.

2. B. Davvaz,  Introduction to Hv-ring theory,  Farhang va Andisheh-ye Riyazi, 16 (1997)

     No. 2, 45-58.

3. B. Davvaz and H. Zakeri,  Quasi-projective and universal modules, Gulchin-i Riyazi, J.

    Math.-Stat., 11 (2002) No. 1, 1-16.

4. B. Davvaz,  Some results on fuzzy Lie algebras, Gulchin-i Riyazi, J. Math.-Stat., 11

   (2002) No. 1, 62-83.

5. B. Davvaz,  On fundamental structure of polygroups, Gulchin-i Riyazi, J. Math.-Stat.,

    13 (1) (2005) 1-18.

6. B. Davvaz,  Properties of hyperring homomorphisms, Journal of Science, Az-Zahra

    University, 20 (2007) 39-48.

7. B. Davvaz and A. Pourmahdi Boroujeni, Introduction to n-ary groups, Gulchin-i Riyazi,

    J. Math.-Stat., 14 (2005) 1-16.

Ç 

Books Authored in Persian Language

1. B. Davvaz and M.A. Iranmanesh,  Fundamentals of Group Theory, Yazd University,

    (2005).

2. B. Davvaz,  Fundamentals of Ring Theory, Yazd University, (2006).

Lectures

1. B. Davvaz,  Fuzzy and anti fuzzy subhypergroups,  Proc. International Conference on

    Intelligent and Cognitive Systems, (1996) 140-144.

2. B. Davvaz,  Hv-module of fractions,  Proc.  9^th  Algebra Seminar of Iranian Math. Soc.,

    University of Tehran, December 17-18, (1996) 37-46.

3. B. Davvaz,  Weak polygroups, Proc. 28^th Iranian Math. Conference, University of

    Tabrize, (1997) 28-31.

4. B. Davvaz,  Action of a polygroup on a set, Proc. 9^th  Algebra Seminar of Iranian Math.

     Soc., Mazandaran University, November 18-19, (1997) 103-112.

5. B. Davvaz and N. Shajareh-Poursalavati,  On representation of hyperstructures,

    Proc. 9^th Algebra Seminar of Iranian Math. Soc., Mazandaran University,

    November 18-19, (1997) 113-120.

6. B. Davvaz and N. Shajareh-Poursalavati,  On semihypergroups and fundamental

    relation, The 29^th  Annual Iranian Math. Conference.

7. B. Davvaz,  On semihypergroups and cyclic semihypergroups, Proc. 10^th Algebra

     Seminar of Iranian Math. Soc., University of Kurdistan, Sanandaj, October 21-22,

    (1998) 67-76.

8. B. Davvaz and N. Shajareh-Poursalavati,  Polygroups and  polygroup hyperrings,

     Proc. 10^th  Algebra Seminar of Iranian Math. Soc., University  of Kurdistan, Sanandaj,

     October 21-22, (1998) 55-65.

9. B. Davvaz, Hypernear-rings and weak hypernear-rings, Proc. 11^th  Algebra Seminar of

     Iranian Math. Soc., Isfahan University  of Technology, Isfahan, October 27-29, (1999)

     68-78.

10. B. Davvaz, On connection between rough sets and algebraic hyperstructures,

      Proc. 30^th  Iranian Math. Conference, University of Mohaghegh Ardebili, August 1-4

      (1999) 70-74.

11. B. Davvaz and Mohammad A. Iranmanesh,  Matroid hypergroups,  Proc. 31^th  Iranian

      Math. Conferance, University of Tehran, 27-30 August, (2000) 300-305.

12. B. Davvaz and A. Dehghan-nezhad,  Chemical examples in hypergroups, The 31^th

       Iranian Math. Conference, University of Tehran, 27-30 August, (2000).

13. B. Davvaz,  On Hv-semigroups and partial abelian Hv-semigroups, International

     Congress on Ghiyath Al-Din Jamshid Kashani, 9-10 November 2000. University of

     Kashan.

14. B. Davvaz,  Fuzzy sets and probabilistic rough sets, The 5^th Iranian Statistics

      Conferance, Isfahan University of Technology, 22-24 August (2000)(MWY).

15. B. Davvaz,  Approximations in polygroups,  The 40^th  Science Week, 4-9 November

     2000, University of Tachreen, Syrian Arab Republic.

16. B. Davvaz and M. Ghadiri,  On exact sequences of Hv-modules, Proc. of the 13^th

       Algebra Seminar (Urmia, 2001), 33-39, Univ. Urmia, Urima, (2001).

17. B. Davvaz,  A new class of Hv-structures, The 32^th  Annual Iranian Math. Conference.

18. B. Davvaz,  Fuzzy weak polygroups, Proc. 8^th  International Congress on Algebraic

      Hyperstructures and Applications, 1-9 Sep., 2002, Samothraki, Greece, Spanidis Press,

      (2003) 127-135.

19. B. Davvaz,  A brief survey of the theory of  Hv-structures, Proc. 8^th  International

     Congress on Algebraic Hyperstructures and Applications,  1-9 Sep., 2002,

     Samothraki,Greece, Spanidis Press, (2003) 39-70 (invited speaker).

20. B. Davvaz,  Hypergroups and fuzzy sets, Proc. 4^th Seminar on Fuzzy Sets and it's

      Applications, University of  Mazandaran, Babolsar, Iran, (2003), 45-54.

21. B. Davvaz,  New concepts in homological algebra, The 15^th  Seminar on Algebra,

      2003.

22. B. Davvaz,  On weak polygroups and fundamental groups, The 15^th  Seminar on

      Algebra, 2003.

23. B. Davvaz, Algebraic rough sets, 34^th  Iranian Mathematics Conference, Aug 30-

      Sep. 2, 2003, Shahrood, Iran.

24. S.M. Anvariyeh and B. Davvaz,  Quasi exact sequences,  The 34^th  Iranian

      Mathematics Conference, Aug 30- Sep. 2, 2003, Shahrood, Iran.

25. B. Davvaz, On Connection Between Intuitionistic Fuzzy Sets and Algebraic

      Hyperstructures, Proc. 5^th  Iranian Conference on Fuzzy Systems, Sept. 7-9, Tehran,

      Iran, (2004) 277-282.

 26. B. Davvaz, A brief survey of the theory of fuzzy algebra, Proc. 5^th  Iranian Conference

       on Fuzzy Systems, Sept. 7-9, Tehran, Iran, (2004) (invited speaker).

27. B. Davvaz and M. Karimian, On the gamma_n-complete hypergroups and

      gamma^*_n-complete hypergroups, The 36^th Annual Iranian Mathematics Conference,

      Sep. 10-13, 2005, Yazd University, Extended Abstracts, 47-48.

28. B. Davvaz and M. Mahdavipour,  General approximation space, 36^th  Annual Iranian

       Mathematics Conference, Sep. 10-13, 2005, Yazd University, Extended Abstracts,

       449-50.

29. H. Torabi, B. Davvaz and J. Behboodian, Inclusiveness measurement of random events

      using rough set theory},  The 36^th  Annual Iranian Mathematics Conference,

      Sep. 10-13,  2005, Yazd University, Extended Abstracts, 270-271.

30.  B. Davvaz and M. Karimian,  On the gamma-complete and gamma–closure parts of

      Hypergroups, The  9^th  International Congress on Algebraic Hyperstructures  and

      Applications, University of  Mazandaran, Babolsar, Iran, (2005).

31. A. Mirvakili and B. Davvaz, Transitivity conditions of alpha-relation on hyperrings,

      The 38^th  Annual Iranian Mathematics Conference, 3-6 Sept. 2007, University

      of  Zanjan, Iran, 465.

32. S.M. Anvariyeh and B. Davvaz, Fundamental modules (with abelian groups) over

      commutative fundamental rings, 38^th  Annual Iranian Mathematics Conference, 3-6

      Sept. 2007, University of Zanjan, Iran, 459.

33. S. Mirvakili,  Hypermodules and fundamenta modules, (In Persian), Extended

     Abstract of 19^th  Algebra Seminar, 12-13 March 2008, Semnan University, Semnan,

      Iran.

 34. S.M. Anvariyeh, Commutative n-ary groups obtained from n-ary hypergroups,

      Extended Abstract of 19^th  Algebra Seminar, 12-13 March 2008, Semnan University,

      Semnan, Iran.