Decision making based on interval-valued complex single-valued neutrosophic hesitant fuzzy generalized hybrid weighted averaging operators

Abstract

The interval complex single-valued neutrosophic fuzzy set (ICSVNFS) and hesitant fuzzy set (HFS) are two important different generalizations of the fuzzy set (FS) to cope with unreliable and unpredictable information in the real world. The ICSVNHFS is characterized by interval complex-valued membership, interval complex-valued abstinence, and interval complex-valued non-membership grades, whose ranges are restricted to a unit disc in a complex plane instead of real numbers. In this paper, the notions of interval-valued complex single-valued neutrosophic hesitant fuzzy sets (IVCSVNHFSs) are initiated and also their operational laws are described with examples. Further, based on IVCSVNHFSs, we develop the notions of the interval-valued complex single-valued neutrosophic fuzzy generalized weighted (IVCSVNHFGW) operator, interval-valued complex single-valued neutrosophic fuzzy generalized ordered weighted (IVCSVNHFGOW) operator, and interval-valued complex single-valued neutrosophic fuzzy generalized hybrid weighted (IVCSVNHFGHW) operator to cope with decision information and also study their properties. Further, a new multi-attribute group decision making (MAGDM) problem is initiated based on the proposed operators. Finally, we provide some numerical examples to illustrate the reliability and superiority of the proposed methods by comparison with other existing methods.

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