Simplified Intuitionistic Neutrosophic Soft Set and its Application on Diagnosing Psychological Disorder by Using Similarity Measure

The primary focus of this manuscript comprises three sections. Initially, we introduce the concept of a simplified intuitionistic neutrosophic soft set. We impose an intuitionistic condition between the membership values of truth and falsity such that their sum does not exceed unity. Similarly, for indeterminacy, the membership value is a real number from the closed interval [0, 1]. Hence, the sum of membership values of truth, indeterminacy, and falsity does not exceed two. We present the notion of necessity, possibility, concentration, and dilation operators and establish some of its properties. Second, we define the similarity measure between two simplified intuitionistic neutrosophic soft sets. Also, we discuss its superiority by comparing it with existing methods. Finally, we develop an algorithm and illustrate with an example of diagnosing psychological disorders. Even though the similarity measure plays a vital role in diagnosing psychological disorders, existing methods deal hardly in diagnosing psychological disorders. By nature, most of the psychological disorder behaviors are ambivalence. Hence, it is vital to capture the membership values by using simplified intuitionistic neutrosophic soft set. In this manuscript, we provide a solution in diagnosing psychological disorders, and the proposed similarity measure is valuable and compatible in diagnosing psychological disorders in any neutrosophic environment

Double framed soft fuzzy bi-ideals of gamma near-rings

The purpose of the article is to study about double framed soft fuzzy biideals of gamma near-ring R and their some results. We have proved that the uni-int and int-uni of double framed soft fuzzy bi-ideals of gamma near-ring R are also a double framed soft fuzzy bi-ideal of gamma near-ring R. We investigated some related properties of double framed soft fuzzy bi-ideal of R using homomorphism and anti-homomorphism. We establish the relationship between bi-ideal and double framed soft fuzzy bi-ideal of R. In this paper we also discuss about double framed soft fuzzy interior ideal of gamma near-ring R and their some results.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

A study on spherical fuzzy ideals of semigroup

In this paper, we introduce the notion of spherical fuzzy ideals of semigroup and establish the properties of it with suitable examples. Also, we introduce the concept of spherical fuzzy sub-semigroup, spherical fuzzy left(resp.right) ideal, spherical fuzzy bi-ideal, spherical fuzzy interior ideal, and homomorphism of a spherical fuzzy ideal in semigroups with suitable illustration. We show that every spherical fuzzy left(right) ideal is a spherical fuzzy bi-ideal

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