As an abstraction of the geometric notion of translation, author in [8] has introduced two operators T+ and Tcalled the fuzzy translation operators on the fuzzy set and studied their properties and also investigated the action of these operators on the (Anti) fuzzy subgroups of a group in [8] and (Anti) fuzzy subring and ideal of a ring in [9]. The notion of anti fuzzy submodule of a module h...

In many personnel evaluation scenarios, decision makers are asked to provide their preferences anonymously to both ensure privacy and avoid psychic contagion. The use of hesitant fuzzy sets is a powerful technique for representing this type of information and has been well studied. This paper explores aggregation methods for prioritized hesitant fuzzy elements and their application on personnel...

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...

The single valued triangular neutrosophic number (SVTrN-number) is simply an ordinary number whose precise value is somewhat uncertain from a philosophical point of view, which is a generalization of triangular fuzzy numbers and triangular intuitionistic fuzzy numbers. Also, SVTrN-number may express more abundant and flexible information as compared with the triangular fuzzy numbers and triangu...

Lattice-ordered monoids are important backgrounds and algebraic foundations of residuum in general. The t-norm based lattices are investigated widely in fuzzy models, but in recent time while researching new approximate reasoning methods in soft computing based models and fuzzy models, the investigations are focused on new types of operators, like uninorms. It is necessary to find and define co...

Distortion risk measures summarize the risk of a loss distribution by means of a single value. In fuzzy systems, the Ordered Weighted Averaging (OWA) and Weighted Ordered Weighted Averaging (WOWA) operators are used to aggregate a large number of fuzzy rules into a single value. We show that these concepts can be derived from the Choquet integral, and then the mathematical relationship between ...

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...

Imprecise choices can be described using either a probabilistic or a fuzzy formalism. No relation between them has been studied so far. In this contribution we present a connection between the two formalisms that strongly makes use of fuzzy implication operators and t-norms. In this framework, Luce’s Choice Axiom turns out to be a special case when the product t-norm is considered and other sim...