This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of various parameters are determined via grey system theory.

/pdf/algorithms-for-neutrosophic-soft-decision-making-based-on-1u8k8pp28i.pdf

Algorithms for Neutrosophic Soft Decision Making Based on Edas, New Similarity Measure and Level Soft Set

An interval-valued picture fuzzy set (IVPFS) is one of the generalizations of an interval-valued fuzzy set to handle the uncertainties in the data during analysis. The aim of this paper is to introduce and study new operations of IVPFS, along with its properties, and examples. In addition, we present the notion of the interval-valued picture fuzzy soft set theory and investigated their properties. Several operations on such as subset, equal, complement, inf product, sup product, union, and intersection are defined over the interval-valued picture fuzzy soft set and discussed their basic properties. Furthermore, we construct an algorithm using an interval-valued picture fuzzy soft set to solve the decision-making problems and illustrate its applicability through a numerical example. From the study, we conclude that the proposed approach is viable in order to handle the uncertainties during the decision-making problems.

/pdf/new-operations-on-interval-valued-picture-fuzzy-set-interval-48nt3bjkfp.pdf

New Operations on Interval-Valued Picture Fuzzy Set, Interval-Valued Picture Fuzzy Soft Set and Their Applications

In this paper, we generalize three types of rough set models based on j-neighborhood space (i.e, type 1 j-neighborhood rough set, type 2 j-neighborhood rough set, and type 3 j-neighborhood rough set), and investigate some of their basic properties. Also, we present another three types of rough set models based on j-adhesion neighborhood space (i.e, type 4 j-adhesion neighborhood rough set, type 5 j-adhesion neighborhood rough set, and type 6 j-adhesion neighborhood rough set). The fundamental properties of approximation operators based on j-adhesion neighborhood space are established. The relationship between the properties of these types is explained. Finally, according to j-adhesion neighborhood space, we give a comparison between the Yao’s approach and our approach.

Comparison of six types of rough approximations based on j-neighborhood space and j-adhesion neighborhood space

Interval-valued Pythagorean Fuzzy EDAS method: An Application to Car Selection Problem

A critical review on theoretical drawbacks and mathematical incorrect assumptions in fuzzy OR methods: Review from 2010 to 2020

More on “Time-neutrosophic soft set and its applications”

More on “ n-valued refined neutrosophic soft set theory”

The aim of this paper is to introduce and study the concepts of fuzzifying semipre-θ-neighborhood system of a point, fuzzifying semipre-θ-closure of a set, fuzzifying semipre-θ-interior of a set, fuzzifying semipre-θ-open sets and fuzzifying semipre-θ-closed sets in fuzzifying topological spaces, and investigate some of their basic properties. Also, we present two types of functions in a fuzzifying topological spaces called fuzzifying strong β-irresolute and fuzzifying weak β-irresolute functions. The interrelations of these functions with the parallel existing allied concepts are established. Further, several characterizations of these functions along with different conditions for their existence are obtained.

Strong β-irresoluteness and weak β-irresoluteness based on continuous valued logic

In this paper, we present and study the concepts of fuzzifying pre-
 $$\theta $$
 -neighborhood system of a point, fuzzifying pre-
 $$\theta $$
 -closure of a set, fuzzifying pre-
 $$\theta $$
 -interior of a set, fuzzifying pre-
 $$\theta $$
 -open sets and fuzzifying pre-
 $$\theta $$
 -closed sets in fuzzifying topological spaces. The basic properties of these concepts are investigated. Two types of functions in a fuzzifying topological spaces called fuzzifying strongly pre-irresolute and fuzzifying weakly pre-irresolute functions are introduced. Then the interrelations of these functions with the parallel existing allied concepts are established. Finally, several characterizations of these functions along with different conditions for their existence are obtained.

Fei You

Papers

More on “Time-neutrosophic soft set and its applications”

More on “ n-valued refined neutrosophic soft set theory”

Strong β-irresoluteness and weak β-irresoluteness based on continuous valued logic

Strongly Pre-irresoluteness and Weakly Pre-irresoluteness Based on Continuous Valued Logic