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...

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (...

In this paper, by integrating the q-rung orthopair fuzzy set (q-ROFS) with N-soft set, we first propose a (q-ROFNSS). Based on q-ROFNSS, explore weighted average (q-ROFNSWA) operator and geometric (q-ROFNSWG) operator, investigate some properties of q-ROFNSWG including idempotency, monotonicity boundedness. Finally, two kinds multiple-attribute group decision-making (MAGDM) methods based aggreg...

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...

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...

In this paper, motivated by the ideas of dependent weighted aggregation operators, we develop some new hesitant fuzzy dependent weighted aggregation operators to aggregate the input arguments taking the form of hesitant fuzzy numbers rather than exact numbers, or intervals. In fact, we propose three hesitant fuzzy dependent weighted averaging(HFDWA) operators, and three hesitant fuzzy dependent...

A contribution of this article is to introduce new q-rung Orthopair fuzzy (q-ROF) aggregation operators (AOs) as the consequence Aczel–Alsina (AA) t-norm (TN) (AATN) and t-conorm (TCN) (AATCN) their specific advantages in handling real-world problems. In beginning, we a few q-ROF numbers (q-ROFNs) operations, including sum, product, scalar power operations based on AATN AATCN. At that point, co...

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with interval-valued dual hesitant fuzzy linguistic information. Then, motivated by the ideal of traditional arithmetic operation, we have developed some aggregation operators for aggregating interval-valued dual hesitant fuzzy linguistic information: i...