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...

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...

Hesitant fuzzy evaluation strategy related to the interval-valued membership and nonmembership degrees should be an appropriate choice due lack of experience, ability knowledge some decision experts. In addition, it is important reasonably model interrelationship these this work, firstly, generalized q-rung orthopair hesitant sets (GIVqROHFSs) are defined, operational rules with respect GIVqROF...

Abstract The complex q-rung orthopair fuzzy set (Cq-ROFS) is the extension of Pythagorean (CPFS) in which sum q-power real part (imaginary part) support for and against limited by one; however, it difficult to express hesitant information. In this study, conception (Cq-ROHFS) combining Cq-ROFS (HFS) proposed, its properties are discussed, obviously, Cq-ROHFS can reflect uncertainties structure ...

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. ...