[1] N. Abbasizadeh, I. Cristea, B. Davvaz, J. Zhan, Subpolygroups related to a fuzzy topology, J.
Multiple-Valued Logic and Soft Computing, 31 (2018), 155-173.
[2] N. Abbasizadeh, B. Davvaz, Topological polygroups in the framework of fuzzy sets, Journal of
Intelligent and Fuzzy Systems, 30 (2016), 2811-2820.
[3] N. Abbasizadeh, B. Davvaz, V. Leoreanu-Fotea, Studies on fuzzy topological Polygroups, Jour-
nal of Intelligent and Fuzzy Systems, 32(1) (2017), 1101-1110.
[4] H. Aghabozorgi, B. Davvaz, M. Jafarpour, Solvable polygroups and derived subpolygroups,
Communications in Algebra, 41 (2013), 3098-3107.
[5] H. Aghabozorgi, B. Davvaz, M. Jafarpour, Nilpotent groups derived from hypergroups, Journal
of Algebra, 382 (2013), 177-184.
[6] M. Al Tahan, B. Davvaz, On the existence of hyperrings associated to arithmetic functions,
Journal of Number Theory, 174 (2017), 136-149.
[7] M. Al Tahan, B. Davvaz, Strongly regular relations of arithmetic functions, Journal of Number
Theory, 187 (2018), 391-402.
[8] M. Al Tahan, B. Davvaz, Hyperstructures associated to Biological inheritance, Mathematical
Biosciences, 285 (2017), 112-118.
[9] M. Al Tahan, B. Davvaz, N-ary hyperstructures associated to the genotypes of F2-o spring,
International Journal of Biomathematics, 10(8) (2017), 17 pages.
[10] M. Al Tahan, B. Davvaz, Weak chemical hyperstructures associated to electrochemical cells,
Iranian Journal of Mathematical Chemistry, 9(1) (2018), 65-75.
[11] M. Al Tahan, S. Hoskova, B. Davvaz, An overview of topological hypergroupoids, Journal of
Intelligent and Fuzzy Systems, 34 (2018), 1907-1916.
[12] R. Ameri, Topological (transposition) hypergroups, Italian Journal of Pure and Applied Math-
ematics, 13 (2003), 171-176.
[13] S.M. Anvariyeh, S. Mirvakili, B. Davvaz, -Relation on hypermodules and fundamental mod-
ules over commutative fundamental rings, Communications in Algebra, 36(2) (2008), 622-631.
[14] S.M. Anvariyeh, B. Davvaz, Strongly transitive geometric spaces associated to hypermodules,
Journal of Algebra, 322 (2009), 1340-1359.
[15] S.M. Anvariyeh, B. Davvaz, Strongly transitive geometric spaces associated to (m; n)-ary hy-
permodules, Journal of Algebra, 322(4) (2009), 1340-1359.
[16] S.M. Anvariyeh, S. Mirvakili, B. Davvaz, Commutative fundamental (m; n)-hypermodules,
Journal of the Egyptian Mathematical Society, 22 (2014), 167-173.
[17] M. Asghari-Larimi, B. Davvaz, Hyperstructures associated to arithmetic functions, ARS Com-
binatoria, 97 (2010), 51-63.
[18] S.C. Chung, K.M. Chun, N.J. Kim, S.Y. Jeong, H. Sim, J. Lee, H. Maeng, Chemical hy-
peralgebras for three consecutive oxidation states of elements, MATCH Communications in
Mathematical and in Computer Chemistry, 72 (2014), 389-402.
[19] P. Corsini, Prolegomena of hypergroup theory, Aviani editore, Second edition, 1993.
[20] B. Davvaz, Fuzzy Hv-groups, Fuzzy Sets and Systems, 101 (1999), 191-195.
[21] B. Davvaz, Rough sets in a fundamental ring, Bulletin of the Iranian Mathematical Society,
24(2) (1998), 49-61.
[22] B. Davvaz, Approximations in hyperrings, Journal of Multiple-Valued Logic and Soft Com-
puting, 15(5-6) (2009), 471-488.
[23] B. Davvaz, Polygroup theory and related systems, World Scienti c, 2013.
[24] B. Davvaz, Weak algebraic hyperstructures as a model for interpretation of chemical reactions,
Iranian Journal of Mathematical Chemistry, 7(2) (2016), 267-283.
[25] B. Davvaz, Rough algebraic structures: Corresponding to ring theory, Algebraic Methods in
General Rough Sets, Trends in Mathematics, Springer Nature Switzerland AG, 2018.
[26] B. Davvaz, N. Abbasizadeh, Fuzzy topological F-polygroups, Journal of Intelligent and Fuzzy
Systems, 33(6) (2017), 3433-3440.
[27] B. Davvaz, I. Cristea, Fuzzy algebraic hyperstructures-an introduction, Springer International
Publishing, 2015.
[28] B. Davvaz, A. Dehghan Nezad, A. Benvidi, Chain reactions as experimental examples of
ternary algebraic hyperstructures, MATCH Communications in Mathematical and in Com-
puter Chemistry, 65(2) (2011), 491-499.
[29] B. Davvaz, A. Dehghan Nezhad, A. Benvidi, Chemical hyperalgebra: Dismutation reactions,
MATCH Communications in Mathematical and in Computer Chemistry, 67 (2012), 55-63.
[30] B. Davvaz, A. Dehghan Nezad, M. M. Heidari, Inheritance examples of algebraic hyperstruc-
tures, Information Sciences, 224 (2013), 180-187.
[31] B. Davvaz, A. Dehghan Nezad, M. Mazloum-Ardakani, Chemical hyperalgebra: Redox reac-
tions, MATCH Communications in Mathematical and in Computer Chemistry, 71 (2014),
323-331.
[32] B. Davvaz, A. Dehghan Nezad, M. Mazloum-Ardakani, Describing the algebraic hyperstruc-
ture of all elements in radiolytic processes in cement medium, MATCH Communications in
Mathematical and in Computer Chemistry, 72(2) (2014), 375-388.
[33] B. Davvaz, A Dehghan Nezhad, S.M. Moosavi Nejad, Algebraic hyperstructure of observ-
able elementary particles including the Higgs boson, Proceedings of the National Academy of
Sciences, India Section A: Physical Sciences, 90(1) (2020), 169-176.
[34] B. Davvaz, W.A. Dudek, S. Mirvakili, Neutral elements, fundamental relations and n-ary
hypersemigroups, International Journal of Algebra and Computation, 19(4) (2009), 567-583.
[35] B. Davvaz, W.A. Dudek, T. Vougiouklis, A generalization of n-ary algebraic systems, Com-
munications in Algebra, 37 (2009) 1248-1263.
[36] B. Davvaz, V. Leoreanu-Fotea, Hyperring theory and applications, International Academic
Press, USA, 2007.
[37] B. Davvaz, R.M. Santilli, T. Vougiouklis, Studies of multivalued hyperstructures for the charac-
terization of matter-antimatter systems and their extension, Algebras Groups and Geometries,
28 (2011) 105-116.
[38] B. Davvaz, R.M. Santilli, T. Vougiouklis, Multi-valued hypermathematics for characteriza-
tion of matter and antimatter systems, Journal of Computational Methods in Sciences and
Engineering (JCMSE), 13 (2013), 37-50.
[39] B. Davvaz, R.M. Santilli, T. Vougiouklis, Mathematical prediction of Ying's twin universes,
American Journal of Modern Physics, 4(3) (2015), 5-9.
[40] B. Davvaz, T. Vougiouklis, n-Ary hypergroups, Iranian Journal of Science and Technology,
Transaction A, 30 (A2) (2006), 165-174.
[41] B. Davvaz, T. Vougiouklis, Commutative rings obtained from hyperrings (Hv-rings) with -
relations, Communications in Algebra, 35 (2007), 3307-3320.
[42] B. Davvaz, T. Vougiouklis, A walk through weak hyperstructures- Hv-structure, World Scien-
ti c Publishing Co. Pte. Ltd., Hackensack, NJ, 2019. xi+334 pp.
[43] A. Dehghan Nezhad, S.M. Moosavi Nejad, M. Nadja khah, B. Davvaz, A physical example of
algebraic hyperstructures: Leptons, Indian Journal of Physics, 86(11) (2012), 1027-1032.
[44] D. Freni, A note on the core of a hypergroup and the transitive closure of , Riv. Matematica
Pura ed Applicata, 8 (1991), 153-156.
[45] D. Freni, A new characterization of the derived hypergroup via strongly regular equivalences,
Communications in Algebra, 30 (2002), 3977-3989.
[46] M. Ghadiri, B. Davvaz, R. Nekouian, Hv-Semigroup structure on F2-o spring of a gene pool,
International Journal of Biomathematics, 5(4) (2012), 13 pages.
[47] D. Heidari, B. Davvaz, S.M.S. Modarres, Topological hypergroups in the sense of Marty, Com-
munications in Algebra, 42 (2014), 4712-4721.
[48] D. Heidari, B. Davvaz, S.M.S. Modarres, Topological polygroups, Bulletin of the Malaysian
Mathematical Sciences Society, 39 (2016), 707-721.
[49] S. Hoskova-Mayerova, Topological hypergroupoids, Computers and Mathematics with Appli-
cations, 64(9) (2012), 2845-2849.
[50] S. Hoskova, J. Chvalina, P. Rackova, Transposition hypergroups of Fredholm integral operators
and related hyperstructures. Part I, Journal of Basic Science, 4 (2008), 43-54.
[51] S. Hoskova, J. Chvalina, P. Rackova, Transposition hypergroups of Fredholm integral operators
and related hyperstructures. Part II, Journal of Basic Science, 4 (2008), 55-60.
[52] M. Jafarpour, H. Aghabozorgi, B. Davvaz, On nilpotent and solvable polygroups, Bulletin of
Iranian Mathematical Society, 39 (2013), 487-499.
[53] M. Koskas, Groupoides, demi-hypergroupes et hypergroupes, Journal of Mathematics and Pure
Applications, 49(9) (1970), 155-192.
[54] V. Leoreanu-Fotea, B. Davvaz, n-hypergroups and binary relations, European Journal of Com-
binatorics, 29(5) (2008), 1207-1218.
[55] V. Leoreanu-Fotea, B. Davvaz, Roughness in n-ary hypergroups, Information Sciences, 178(21)
(2008), 4114-4124.
[56] V. Leoreanu-Fotea, B. Davvaz, Join n-spaces and lattices, Journal of Multiple-Valued Logic
and Soft Computing, 15(5-6) (2009), 421-432.
[57] V. Leoreanu-Fotea, I. Rosenberg, B. Davvaz, T. Vougiouklis, A new class of n-ary hyperoper-
ations, European Journal of Combinatorics, 44 (2015), 265-273.
[58] S. Mirvakili, S.M. Anvariyeh, B. Davvaz, On -relation and transitivity conditions of , Com-
munications in Algebra, 36 (2008), 1695-1703.
[59] S. Mirvakili, S.M. Anvariyeh, B. Davvaz, Transitivity of -relation on hyper elds, Bulletin
Mathematics Society Science Mathematics Roumanie (N.S.), 51(99) (2008), 233-243.
[60] S. Mirvakili, B. Davvaz, Constructions of (m; n)-hyperrings, Matematicki Vesnik, 67(1) (2015),
1-16.
[61] S. Mirvakili, B. Davvaz, Relations on Krasner (m; n)-hyperrings, European Journal of Com-
binatorics, 31 (2010), 790-802.
[62] S.S. Mousavi, V. Leoreanu-Fotea, M. Jafarpour, Cyclic groups obtained as quotient hyper-
groups, Analele Stiinti ce ale Universitatii Al I Cuza din Iasi Mathematics (N.S.), 61(1)
(2015), 109-122.
[63] Z. Pawlak, Rough sets, International Journal of Information Computer Science, 11 (1982),
341-356.
[64] M.B. Safari, B. Davvaz, V. Leoreanu-Fotea, Enumeration of 3- and 4-hypergroups on sets with
two elements, European J. Combinatorics, 44 (2015), 298-306.
[65] M. Salehi Shadkami, M.R. Ahmadi Zand, B. Davvaz, The role of complete parts in topological
polygroups, International Journal of Analysis and Applications, 11(1) (2016), 54-60.
[66] M. Salehi Shadkami, M.R. Ahmadi Zand, B. Davvaz, Left big subsets of topological polygroups,
Filomat, 30(12) (2016), 3139-3147.
[67] R.M. Santilli, T. Vougiouklis, Isotopies, genotopies, hyperstructures and their applications,
New frontiers in hyperstructures (Molise, 1995), 1-48, Ser. New Front. Advance Mathematics
Ist. Ric. Base, Hadronic Press, Palm Harbor, FL, 1996.
[68] S. Yamak, O. Kazanc, B. Davvaz, Generalized lower and upper approximations in a ring,
Information Sciences, 180 (2010), 1759-1768.
[69] S. Yamak, O. Kazanc, B. Davvaz, Approximations in a module by using set-valued homomor-
phisms, International Journal of Computer Mathematics, 88(14) (2011), 2901-2914.
[70] T. Vougiouklis, The fundamental relation in hyperrings. The general hyper elds, Proc. Fourth
Int. Congress on Algebraic Hyperstructures and Applications (AHA 1990), World Sci. Publ.,
1991, 203-211.
[71] T. Vougiouklis, Hyperstructures and their representations, Hadronic Press, Inc, 115, Palm
Harber, USA, 1994.
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