Soft interval-valued intuitionistic fuzzy rough Sets
نویسندگان
چکیده
Soft set theory, fuzzy set theory and rough set theory are all mathematical tools for dealing with uncertainties and are closely related. Feng et al. introduced the notions of rough soft set, soft rough set and soft rough fuzzy set by combining fuzzy set, rough set and soft set all together. This paper is devoted to the discussions of the combinations of intervalvalued intuitionistic fuzzy set, rough set and soft set. A new model, namely soft interval-valued intuitionistic fuzzy rough set is proposed and it’s properties are derived. Also a soft interval-valued intuitionistic fuzzy rough set based multi criteria group decision making scheme is presented. The proposed scheme is illustrated by an example regarding the car selection problem. 2010 AMS Classification: 03E72, 90B50, 54A40, 06D72.
منابع مشابه
Group Generalized Interval-valued Intuitionistic Fuzzy Soft Sets and Their Applications in\ Decision Making
Interval-valued intuitionistic fuzzy sets (IVIFSs) are widely used to handle uncertainty and imprecision in decision making. However, in more complicated environment, it is difficult to express the uncertain information by an IVIFS with considering the decision-making preference. Hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (G-GIVIFSS) which conta...
متن کاملInterval valued intuitionistic fuzzy soft set relations
In this paper the concept of interval valued intuitionistic fuzzy soft set relations (IVIFSS-relations for short) is proposed. Our relations on interval valued intuitionistic fuzzy soft sets is an extension of the relations on intuitionistic fuzzy soft sets, introduced by Mukherjee and Chakraborty in 2009. The basic properties of the IVIFSS-relations are also presented and discussed. It is seen...
متن کاملSoft Interval –Valued Neutrosophic Rough Sets
In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVNrough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIFrough sets). Finally an illustartive example is given to verfy the developped algorithm and to...
متن کاملINTERVAL-VALUED INTUITIONISTIC FUZZY SETS AND SIMILARITY MEASURE
In this paper, the problem of measuring the degree of inclusion and similarity measure for two interval-valued intuitionistic fuzzy sets is considered. We propose inclusion and similarity measure by using order on interval-valued intuitionistic fuzzy sets connected with lexicographical order. Moreover, some properties of inclusion and similarity measure and some correlation, between them an...
متن کاملInterval valued intuitionistic fuzzy soft topological spaces
In this paper the concept of interval valued intuitionistic fuzzy soft topological space(IVIFS topological space) together with interval valued intuitionistic fuzzy soft open sets(IVIFS open sets) and interval valued intuitionistic fuzzy soft closed sets(IVIFS closed sets) are introduced. We define neighbourhood of an IVIFS set, interior IVIFS set, interior of an IVIFS set, exterior IVIFS set, ...
متن کامل