Multiple-Attribute Decision Making Based on Intuitionistic Hesitant Fuzzy Connection Set Environment

Abstract

The intuitionistic hesitant fuzzy set (IHFS) is an enriched version of hesitant fuzzy sets (HFSs) that can cover both fuzzy sets (FSs) and intuitionistic fuzzy sets (IFSs). By assigning membership and non-membership grades as subsets of [0, 1], the IHFS can model and handle situations more proficiently. Another related theory is the theory of set pair analysis (SPA), which considers both certainties and uncertainties as a cohesive system and represents them from three aspects: identity, discrepancy, and contrary. In this article, we explore the suitability of combining the IHFS and SPA theories in multi-attribute decision making (MADM) and present the hybrid model named intuitionistic hesitant fuzzy connection number set (IHCS). To facilitate the design of a novel MADM algorithm, we first develop several averaging and geometric aggregation operators on IHCS. Finally, we highlight the benefits of our proposed work, including a comparative examination of the recommended models with a few current models to demonstrate the practicality of an ideal decision in practice. Additionally, we provide a graphical interpretation of the devised attempt to exhibit the consistency and efficiency of our approach.

Selection of Investment Policy Using a Novel Three-Way Group Decision Model under Intuitionistic Hesitant Fuzzy Sets

“…We will further investigate our novel techniques in the scope of multi-criteria development in the fuzzy environment and examine the idea behind our suggested methods within the perspective of square root fuzzy information [47,48]. Additionally, we will examine our ongoing research using a temporal intuitionistic fuzzy system [49,50].…”

Prediagnosis of Disease Based on Symptoms by Generalized Dual Hesitant Hexagonal Fuzzy Multi-Criteria Decision-Making Techniques

“…Ghorui, N. et al [13] identified the dominant risk factor involved in the spread of COVID-19 using hesitant fuzzy MCDM methodology. In addition to medical diagnosis, a great deal of study in other areas [14,15] involving hesitant fuzzy sets has been carried out. Additionally, many studies have been conducted on generalized fuzzy numbers, including generalized triangular intuitionistic fuzzy numbers (GTIFN) [16], generalized trapezoidal hesitant fuzzy numbers (GTrHFN) [2], generalized hesitant fuzzy numbers (GHFN) [8], and generalized hexagonal fuzzy numbers (GH χ FN) [17].…”

“…Example 3. Let consider ∆1 , ∆2 , ∆3 and ∆4 are four GDHH χ FNs define as ∆1 =<(5,6,7,8,9,10); {(0.7, 0.2), (0.9, 0.05), (0.85, 0.1)} >, ∆2 =< (0.1, 0.2, 0.3, 0.6, 0.7, 0.8); {(0.8, 0.15), (0.75, 0.2), (0.9, 0)} >, ∆3 =< (0.60, 0.65, 0.75, 0.85, 0.95, 1); {(0.9, 0.05), (0.75, 0.2), (0.85, 0.1)} > and ∆4 =<(9,10,12,14,16,17); {(1, 0), (0.9, 0.05), (0.8, 0.15)} >.…”

An Innovative Decision Model Utilizing Intuitionistic Hesitant Fuzzy Aczel-Alsina Aggregation Operators and Its Application

“…Moving forward, our future investigations will delve into the application of our novel techniques in the realm of multi-criteria development within the fuzzy environment. We will also explore the underlying concept of intuitionistic hesitant fuzzy connection information [51,52] in relation to our suggested methods. Additionally, our ongoing research involves the utilization of a temporal intuitionistic fuzzy system [53][54][55] as an avenue for further exploration.…”