The aim of this manuscript is to present a new concept of hesitant q-rung orthopair fuzzy sets (Hq-ROFSs) by combining the concept of the q-ROFSs as well as Hesitant fuzzy sets. The proposed concept is the generalization of the fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and Pythagorean fuzzy sets as well as intuitionistic hesitant fuzzy sets (IHFSs) and hesitant Pythagorean fuz...

In this manuscript, we proposed a novel framework of the q-rung orthopair fuzzy subfield (q-ROFSF) and illustrate that every Pythagorean is certain field. We extend theory discuss its diverse basic algebraic characteristics in detail. Furthermore, prove some fundamental results establish helpful examples related to them. Moreover, present homomorphic images pre-images under field homomorphism. ...

In many real-life problems, decision-making is reckoned as a powerful tool to manipulate the data involving imprecise and vague information. To fix mathematical problems containing more generalized datasets, an emerging model called q-rung orthopair fuzzy soft sets offers comprehensive framework for number of multi-attribute (MADM) situations but this not capable deal effectively with having bi...

A new inclusion called total relation has improved the existing dissimilarity measure for q-rung orthopair fuzzy sets (qROFSs). For qROFSs, modified axiomatic definition of is proposed. The Hamming and Euclidean measures are defined. An algorithmic procedure a robust VIKOR method based on established. application in Mass Vaccination Campaigns (MVCs) COVID-19 situation given.

Entropy is an important tool to describe the degree of uncertainty fuzzy sets. In this study, we first define a new entropy and distance measure in linguistic q-Rung orthopair (LIVqROF) environment, verify its correctness rationality. Secondly, LIVqROF formula effectively applied multi-attribute decision making (MADM) with unknown attribute weights, which provides idea for solving MADM problems...

Abstract: In this paper, we introduce Interval valued q- Rung Orthopair Hesitant fuzzy sets (IVq-ROHFS) with motivation of pythagorean [44] as a new concept. Then, give some basic operations complement, union, intersection, addition, scalar multiplication, power. Also, combine to and choquet integral , together aggregating operators, develop rung orthopair hesitant Choquet averaging operator (I...

In recent years, q-rung orthopair fuzzy sets (q-ROFSs), a novel and rigorous generalization of the set (FS) coined by Yager in 2017, have been used to manage inexplicit indefinite information daily life with high precision greater accuracy than intuitionistic (IFSs) Pythagorean (PFSs). The characterization measure similarity between q-ROFSs is important, as they applications different areas, in...