Fuzzy soft relations over semigroups

N. Shirmohammadi, H. Doostie, H. Rasouli

Abstract


In this paper we attempt to generalize the notion of soft relation on semi-
groups studied by Feng et al. in 2013 to fuzzy soft relation on semigroups.
Moreover, we study certain involved algebraic properties of this notion which
can be applied in mathematics and information science.


Keywords


fuzzy soft set, fuzzy soft relation, fuzzy soft congruence

References


K. Acar, F. Koyuncu, B. Tany, Soft set and soft rings, Comput. Math. Appl.,

, 2010, 3458-3463.

H. Aktas, N. C agman, Soft set and soft group, Inform. Sci, 177, 2007, 2726-2735.

A.O. Atagun, A. Sezgin, Soft substructures of rings, lds and modules, Comput.

Math. Appl., 61, 2011, 592-601.

A. Aygunoglu, H. Aygun, Introduction to fuzzy soft groups, Comput. Math.

Appl., 58, 2009, 1279-1286.

B. Bilalov, F. Guliyeva, On the basis properties of systems in the intuitionistic

fuzzy metric space, AZ. J. Math., 4, 2014, 136-149.

M.K. Chakraborty , M. Das, Reduction of fuzzy strict order relations, Fuzzy sets

and systems, 15, 1985, 33-44.

B.A. Ersoy , N.A. Ozkirisci, Intuitionistic fuzzy soft semi-ideals, AZ. J. Math.,

, 2016, 44-54.

F. Feng, M.I. Ali, M. Shabir, Soft relations applied to semigroups, Filomat, 27,

, 1183-1196.

X. Gaoxiang, X. Dajing, Z. Jianming, Fuzzy soft modules, East Asian Mathematical

Journal, 28, 2012, 1-11.

X. Liu, Normal soft group, J. Hubei Institute for Nationalities, 27, 2009, 168-170.

P. Maji, R. Biswas, A. Roy, soft set theory, Comput. Math. Appl., 45, 2003,

-562.

P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, The Journal of Fuzzy Mathematics,

, 2001, 589-602.

P.K. Maji, A.R. Roy, An application of soft sets in a decision making problem,

Comput. Math. Appl., 44, 2002, 1077-1083.

D. Molodtsov, Soft set theory-rst results, Comput. Math. Appl., 37, 1999, 19-31.

V. Murali, Fuzzy equivalence relations, Fuzzy Sets and Systems, 30, 1989, 155-

A.R. Roy, P.K. Maji, A fuzzy soft set theoretic approach to decision making

problems, Comput. Math. Appl., 203, 2007, 412-418.

M.A. Sumhan, Fuzzy congruence on semigroup, Inform. Sci., 74, 1993, 165-175.

C.F. Yang, Fuzzy soft semigroup and fuzzy soft ideals, Comput. Math. Appl., 61,

, 255-261.

X. Yin, Z. Liao, Study on soft groups, Journal of Computers, 4, 2013, 960-967.

L. Zadeh, Fuzzy sets, Inform. Control, 8, 1965, 338-353.


Refbacks

  • There are currently no refbacks.


free counters