On rarely fuzzy e-continuous functions in the sense of Šostak’s

In this paper, we introduce the concepts of rarely fuzzy e-continuous functions in the sense of Šostak’s is introduced. Some interesting properties and characterizations of rarely fuzzy e-continuous and weakly fuzzy e-continuous are investigated. Also, fuzzy eT1/2-space, rarely fuzzy eT2-spaces and some applications to fuzzy compact spaces are established

Somewhat neutrosophic δ-irresolute continuous mappings in neutrosophic topological spaces

One of the strongest form in a neutrosophic open sets is a neutrosophic δopen sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already defined in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutrosophic δ-continuous (open) mapping functions are defined in previous paper. The concept of somewhat neutrosophic δ-irresolute continuous (open) mapping which is stronger than a somewhat neutrosophic δ-continuous (open) mapping in a netrosophic topological spaces have been introduced and studied in this paper. Alongside, some interesting properties of those mappings are given in neutrosophic topological spaces.Publisher's Versio

(R1957) Some Types of Continuous Function Via N-Neutrosophic Crisp Topological Spaces

The aim of this article is to introduced a new type of continuous functions such as N-neutrosophic crisp gamma continuous and weakly N-neutrosophic crisp gamma continuous functions in a N-neutrosophic crisp topological space and also discuss a relation between them in a N-neutrosophic crisp topological spaces. We also investigate some of their properties in N-neutrosophic crisp gamma continuous function via N-neutrosophic crisp topological spaces. Further, a contra part of continuity called N-neutrosophic crisp gamma-contra continuous map in a N-neutrosophic crisp topology is also initiated. Finally, an application based on neutrosophic score function of medical diagnosis is examined with graphical representation

(R1961) On Fuzzy Upper and Lower Theta Star Semicontinuous Multifunctions

This work introduces the concepts of fuzzy upper and lower theta star (respectively theta)- semicontinuous multifunction on fuzzy topological spaces in the Sostak sense. In L-fuzzy topological spaces, the mutual relationships of these fuzzy upper (resp. fuzzy lower) theta star (resp. theta)-semicontinuous multifunctions are established, as well as several characterizations and properties. Later, researchers looked at the composition and union of these multifunctions

(R1956) Neutrosophic Soft e-Compact Spaces and Application Using Entropy Measure

In this paper, the concept of neutrosophic soft e-compactness is presented on neutrosophic soft topological spaces using the definition of e-open cover and its types. In addition, neutrosophic soft e-compactness and neutrosophic soft e-separation axioms are associated. Also, the concept of neutrosophic soft locally e-compactness is introduced in neutrosophic soft topological spaces and some of its properties are discussed. Added to that, an application in decision making problem is given using entropy

(R1986) Neutrosophic Soft Contra e-Continuous Maps, Contra e-Irresolute Maps and Application using Distance Measure

We introduce and investigate neutrosophic soft contra e-continuous maps and contra e-irresolute maps in neutrosophic soft topological spaces with examples. Also, neutrosophic soft contra econtinuous maps are compared with neutrosophic soft continuous maps, δ-continuous maps, δ- semi continuous maps, δ-pre continuous maps and e∗ continuous maps in neutrosophic soft topological spaces. We derive some useful results and properties related to them. An application in decision making problem using distance measure is given. An example of a candidate selection from a company interview is formulated as neutrosophic soft model problem and the hamming distance measure is applied to calculate the distance between the interview candidates and the ideal candidate. The candidate having less distance with the ideal solution is the desirable candidate

Regular Semiopen Sets on Intuitionistic Fuzzy Topological Spaces in Sostak’s Sense

We introduce the concepts of fuzzy (r; s)-regular semi (resp. (r; s)-α, (r; s)-pre, (r; s)-β open sets, their respective interior and closure operators on intuitionistic fuzzy topological spaces in ˆ Sostak’s sense and then we investigate some of their characteristic properties

(R1514) Nano Continuous Mappings via Nano M Open Sets

Nano M open sets are a union of nano θ semi open sets and nano δ pre open sets. The properties of nano M open sets with their interior and closure operators are discussed in a previous paper. In this paper, we discuss about nano M-continuous and nano M-irresolute functions are introduced in a nano topological spaces along with their continuous and irresolute mappings. Also, nano M-open and nano M-closed functions are introduced and compare with their near open and closed mappings in a nano topological spaces. Further, nano M homeomorphism is also discussed in nano topological spaces. Also, we discuss nano e-Cts, nano e-Irr, nano eo and nano ec functions and nano eHom in nano topological spaces. Also some of their properties are well discussed

On Double Fuzzy M-open Mappings and Double Fuzzy M-closed Mappings

We introduce and investigate some new class of mappings called double fuzzy M-open map and double fuzzy M-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between double fuzzy open, double fuzzy θ semiopen, double fuzzy δ preopen, double fuzzy M open and double fuzzy e open and their respective closed mappings

Fuzzy Semi-S-irresolute Continuous Mappings in Šostak’s Fuzzy Topological Spaces

In this paper, the concepts of fuzzy semi-S-irresolute open map, fuzzy semi-S-irresolute closed map and fuzzy semi-S-irresolute homeomorphism to the fuzzy topological spaces in Šostak’s sense are introduced and studied. Some of their characteristic properties are considered. Also a comparison between these new types of functions are established by giving examples