New Types of Pythagorean Fuzzy Modules and Applications in Medical Diagnosis

In this article, we discuss several distinct categories of pythagorean fuzzy modules, study pythagorean fuzzy relations, and provide applications in the field of medical diagnosis. The concept of pythagorean fuzzy prime modules, along with its characteristics, is presented. In addition,an investigation is conducted into a pythagorean fuzzy multiplication module. Moreover, pythagorean fuzzy relations and pythagorean fuzzy homomorphisms are introduced. By making use of pythagorean fuzzy sets and pythagorean fuzzy relations., we propose a novel approach to the medical diagnosis process. This approach is achieved by pointing the smallest distance between the symptoms of the patients and the symptoms related to diseases

Some new results of pythagorean fuzzy soft topological spaces

This paper aims to originate new notion that is pythagorean fuzzy soft topological space and investigate some important properties of pythagorean fuzzy soft topological spaces. Furthermore the notions of pythagorean fuzzy soft interior, pythagorean fuzzy soft closure, pythagorean fuzzy soft image and pre-image, pythagorean fuzzy soft continuity are presented.Publisher's Versio

Fuzzy systems and applications in innovation and sustainability

One of the main characteristics of humankind is the ability to interpret via natural language incomplete, imprecise, vague, subjective, fragmentary, or scarce information i.e. information in uncertainty and transform it to actions, reason and decision-making [9]. Fuzzy sets theory firstly introduced the treatment of such concepts in 1965 with the foremost influential paper "Fuzzy Sets" [29]. The groundbreaking standpoint of fuzzy systems allows the treatment of uncertain information with the utilization of a strict mathematical framework [8]. Ever since the publication of the pivotal paper from Zadeh, a plethora of contributions have shaped the fuzzy sets theory scope and applications, from developments in engineering, mathematics, computer, decision, life, physical, health, social sciences and humanities [17 (...

Characterization of semigroup by rough interval pythagorean fuzzy set

This paper expose a study on rough interval valued pythagorean fuzzy sets in semigroups. We characterize rough interval valued pythagorean fuzzy sets by an example. Characterize composition of two interval valued pythagorean fuzzy sets. Introduce rough interval valued pythagorean fuzzy left(right, bi-, interior-,(1,2)-)ideals in semigroups. Moreover we prove an interval valued pythagorean fuzzy set is an upper rough interval valued pythagorean fuzzy left(right) ideal of semigroup also we give an example for converse of this is not true. Lower and upper approximation of an interval valued pythagorean fuzzy ideal of semigroup is an interval valued pythagorean fuzzy ideal of semigroup.Publisher's Versio

An introduction to Pythagorean fuzzy hyperideals in hypersemigroups

As the generalization of intuitionistic fuzzy set, Pythagorean fuzzy set was introduced. It is a pair of membership and non-membership grade where the sum of the squares of membership and non-membership grade should be less than or equal to 1. Pythagorean fuzzy set get more attention to deal with uncertainity. In this paper we apply Pythagorean fuzzy set in ideal theory of hypersemigroups. We introduce Pythagorean fuzzy left(right) hyperideals in hypersemigroups. We define t−level cut of Pythagorean fuzzy hyperideal is in hypersemigroup. Also we introduce Pythagorean fuzzy interior hyperideals in hypersemigroups and explain it with detailed example. Some theorems and results are also studied. Relation between Pythagorean fuzzy right(left) hyperideal, Pythagorean fuzzy subsemihypergroup and Pythagorean fuzzy interior hyperideal is given.Publisher's Versio

Rough cubic Pythagorean fuzzy sets in semigroup

In this paper, we intend the concept of rough cubic Pythagorean fuzzy ideals in the semigroup. By using this notion, we discuss lower approximation and upper approximation of cubic Pythagorean fuzzy left (right) ideals, bi-ideals, interior ideals, and study some of their related properties in detail.Publisher's Versio