Monoranjan Bhowmik

Some Results on Generalized Interval-Valued Intuitionistic Fuzzy Sets

In this paper, we define some results on generalized interval-valued intuitionistic fuzzy sets (GIVIFSs). In fact, all interval-valued intuitionistic fuzzy sets (IVIFSs) are GIVIFSs but all GIVIFSs are not IVIFSs. We define two composite relations, four types of reflexivity and irreflexivity of GIVIFSs with some of their properties. We define generalized interval-valued intuitionistic fuzzy relation (GIVIFR) with some results. Also we define two operators C and I with some properties over GIVIFSs. Finally, an illustrative example is given to using GIVIFSs in a decision making problem.

Cubic Subalgebras and Cubic Closed Ideals of B-algebras

Abstract In this paper, the concept of cubic set to subalgebras, ideals and closed ideals of -algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of -algebras investigated. The homomorphic image and inverse image of cubic subalgebras, ideals are studied and some related properties are investigated. Also, the product of cubic -algebras are investigated.

Interval Cut-Set of Generalized Interval-Valued Intuitionistic Fuzzy Sets

In this paper, some different types of interval cut-set of genaralized interval-valued intuitionistic fuzzy sets GIVIFSs, complement of these cut-sets are introduced. Some properties of those cut-set of GIVIFSs are investigated. Also three decomposition theorems of GIVIFSs are obtained based on the different cut-set of GIVIFSs. These works can also be used in setting up the basic theory of GIVIFSs.