Fermatean fuzzy set theory is emerging as a novel mathematical tool to handle uncertainties in different domains of real world. sets were presented order that uncertain information from quite general real-world decision-making situations could be mathematically tractable. To purpose, these are more flexible and reliable than intuitionistic Pythagorean sets. This paper presents hybrid model, nam...

Spherical fuzzy sets (SFSs) are often made up of membership, nonmembership, and hesitancy grades, also have the advantage accurately representing decision makers (DMs) preferences. This article proposes novel spherical aggregation operators (AOs) based on Aczel–Alsina (AA) operations, which offer a lot advantages when tackling real-world situations. We begin by introducing some new SFS such as ...

Multi-attribute decision-making (MADM) is commonly used to investigate fuzzy information effectively. However, selecting the best alternative not always symmetric because alternatives do have complete information, so asymmetric often involved. Expressing under uncertainty using closed subintervals of [0, 1] beneficial and effective instead crisp numbers from 1]. The goal this paper enhance noti...

We analyze different types of aggregation operators based on the use of probabilities, weighted averages (WAs) and generalized aggregation operators. We present the generalized probabilistic weighted averaging (GPWA) operator. It is a new aggregation operator that unifies the WA and the probability in the same formulation considering the degree of importance that each concept has in the analysi...

Using the strength of a single-valued neutrosophic set (SVNS) with flexibility hesitant fuzzy (HFS) yields robust model named (SVNHFS). Due to ability utilize three independent indexes (truthness, indeterminacy, and falsity), an SVNHFS is efficient for optimization computational intelligence (CI) as well intelligent decision support system (IDSS). Taking advantage operational parameters in Domb...

The core contribution of this study is to develop a novel generalized idea q-rung orthopair probabilistic hesitant fuzzy rough set (q-ROPHFRS) which hybrid structure the set, and set. q-ROPHFRS covers positive negative membership grades in form information address uncertainties real-world decision-making problems. This paper proposes list averaging/geometric aggregation operators handle uncerta...

In this paper, we define the concept of a bipolar fuzzy cosets of a bipolar fuzzy HX subgroup, bipolar anti fuzzy HX subgroup, bipolar fuzzy middle coset of a bipolar fuzzy HX subgroup and bipolar anti fuzzy HX subgroup, conjugate bipolar fuzzy HX subgroup, conjugate bipolar anti fuzzy HX subgroup and discussed some of its properties with the examples. Further we define the level subsets and lo...

The goal of this paper is to investigate the certain properties bipolar fuzzy supra preopen sets (BF set). We introduce and study concepts pre-interior pre-interior) pre-closure pre-closure) operators. Furthermore, we define new type continuous mapping based on BF sets.

In this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related </...