Fuzzy Soft Multi Relation and Its Properties



In this research works, the concept of fuzzy soft multi relation is motivated and its fundamental properties are to be studied. Here we present the inverse of a fuzzy soft multi relation and some fundamental properties in regards to with these ideas are investigated. Also, we examine reflexive, symmetric and transitive fuzzy soft multi relations with numerical samples and study the effect of inverse on these various types of fuzzy soft multi relations.


Full Text:



Molodtsov, D.: Soft set theory-first results. Comp. Math. Appl. 37 (1999) 19-31.

Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comp. Math. Appl. 45 (2003) 555-562.

Maji, P.K., Roy, A.R., Biswas, R.: An application of soft sets in a decision making prob-lem, Comput. Math. Appl. 44 (2002) 1077-1083.

Ali, M.I., Feng, F., Liu, X., Minc, W.K., Shabir, M.: On some new operations in soft set theory. Comp. Math. Appl. 57 (2009) 1547-1553.

Zadeh, L.A.: Fuzzy sets. Inform. Control. 8 (1965) 338-353.

Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9 (2001), 589-602.

Alkhazaleh, S., Salleh, A.R., Hassan, N.: Soft multi sets theory, Appl. Math. Sci., 5 (2011) 3561– 3573.

Babitha, K.V., John, S.J.: On soft multi sets. Ann. Fuzzy Math. Inform., 5 (2013) 35-44.

Alhazaymeh, K., Hassan, N.: Vague soft multiset theory. Int. J. Pure and Applied Math., 93 (2014) 511-523.

Tokat, D., Osmanoglu, I.: Soft multi set and soft multi topology. Nevsehir Universitesi Fen Bilimleri Enstitusu Dergisi Cilt., 2 (2011)109-118.

Mukherjee, A., Das, A.K., Saha, A.: Topological structure formed by soft multi sets and soft multi compact space. Annals of Fuzzy Mathematics and Informatics, 7 (2014) 919-933.

Alkhazaleh, S., Salleh, A.R.: Fuzzy soft multi sets theory. Hindawi Publishing Corpora-tion, Abstract and Applied Analysis, Article ID 350603, 20 pages, (2012) doi: 10.1155/2012/350603.

Mukherjee, A., Das, A.K.: Some results on fuzzy soft multi sets. International Journal on Cybernetics & Informatics, 4 (2015) 51-65.

Mukherjee, A., Das, A.K.: Topological structure formed by fuzzy soft multisets”, Rev. Bull. Cal. Math. Soc., 21 (2013) 193-212.

Mukherjee, A., Das, A.K.: On fuzzy soft multi set and its application in information sys-tems, International Journal of Computer-aided Technologies, 2(3) (2015), 29-46.

Mukherjee, A., Das, A.K.: Application of fuzzy soft multisets in decision making prob-lems. Lecture Notes in Computer Science. Springer Verlag. 1, (In press)

Zadeh, L.A.: Similarity relations and fuzzy orderings. Inform. Sci. 3 (1971) 177 – 200

Mukherjee, A., Das, A.K.: Relations on intuitionistic fuzzy soft multisets. Lecture Notes in Electrical Engineering, Springer Verlag, 339, (2015) 607-614.


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.