Abstract
Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a useful tool allowing several possible degrees of membership of an element to a set. Recently, another suitable means were defined by Zhiming Zhang (1), called interval valued intuitionistic hesitant fuzzy sets, dealing with uncertainty and vagueness, and which is more powerful than the hesitant fuzzy sets. In this paper, four new operations are introduced on interval-valued intuitionistic hesitant fuzzy sets and several important properties are also studied.
Highlights
In recent decades, several types of sets, such as fuzzy sets [2], interval-valued fuzzy sets [3], intuitionistic fuzzy sets [4, 5], interval-valued intuitionistic fuzzy sets [6], type 2 fuzzy sets [7, 8], type n fuzzy sets [7], and hesitant fuzzy sets [9], neutrosophic sets, have been introduced and investigated widely
Atanassov and Gargov provided in [6] what they called interval-valued intuitionistic fuzzy sets theory (IVIFS for short), which is a generalization of both interval valued fuzzy sets and intuitionistic fuzzy sets
Zhiming Zhang [1] have proposed the concept of interval valued intuitionistic hesitant fuzzy set, study their some basic properties and developed several series of aggregation operators for interval valued intuitionistic hesitant fuzzy environment and have applied them to solve multi-attribute group decision making
Summary
Several types of sets, such as fuzzy sets [2], interval-valued fuzzy sets [3], intuitionistic fuzzy sets [4, 5], interval-valued intuitionistic fuzzy sets [6], type 2 fuzzy sets [7, 8], type n fuzzy sets [7], and hesitant fuzzy sets [9], neutrosophic sets, have been introduced and investigated widely. Xia and Xu [11] made an intensive study of hesitant fuzzy information aggregation techniques and their applications in decision making They defined some new operations on hesitant fuzzy sets based on the interconnection between hesitant fuzzy sets and the interval valued intuitionistic fuzzy sets. Zhiming Zhang [1] have proposed the concept of interval valued intuitionistic hesitant fuzzy set , study their some basic properties and developed several series of aggregation operators for interval valued intuitionistic hesitant fuzzy environment and have applied them to solve multi-attribute group decision making. Our aim is to propose four new operations on interval valued intuitionistic hesitant fuzzy sets and study their properties.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
