An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups

Rough set theory applied to (fuzzy) ideal theory

We use covers of the universal set to de-ne approximation operators on the power set of the given set. In Section 1, we determine basic properties of the upper approximation operator and show how it can be used to give algebraic structural properties of certain subsets. We de-ne a particular cover on the set of ideals of a commutative ring with identity in such a way that both the concepts of t...

A Hesitant Fuzzy Set Theory Based Approach for Project Portfolio Selection with Interactions under Uncertainty

This paper proposes a new practical model for project portfolio selection focusing on two issues; the first issue relates to managing uncertainty provoked by hesitant situations and the second issue relates to the interaction effect of projects on final value of portfolio. Based on the above issues, the hesitant fuzzy weighted averaging (HFWA) operator is applied to aggregate the hesitant fuzzy...

Some aspects on hesitant fuzzy soft set

Intuitionistic Fuzzy Ideal Extensions of {\Gamma}-Semigroups

In this paper the concept of the extensions of intuitionistic fuzzy ideals in a semigroup has been extended to a Γ-Semigroups. Among other results characterization of prime ideals in a Γ-Semigroups in terms of intuitionistic fuzzy ideal extension has been obtained.

Horizontal representation of a hesitant fuzzy set and its application to multiple attribute decision making

The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making ...