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

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

Simply Fuzzy generalized open and closed sets

In this paper, we introduced new concepts , Simply open set, Simply fuzzy open set, Simply fuzzy continuous, Simply fuzzy open function( resp. fuzzy –closed ), simply fuzzy open cover and simply fuzzy compact. We study some of their properties

Pairwise fuzzy irresolute mappings

summary:In this paper the concepts of fuzzy irresolute and fuzzy presemiopen mappings due to Yalvac [12] are generalized to fuzzy bitopological spaces and their basic properties and characterizations are studied

A New Form Of Continuity In Fuzzy Soft Topological Spaces

The current work introduces a new class of fuzzy soft B continuous functions such as slightly b continuous, semi b continuous, pre b continuous functions and their relation withthe existing fuzzy soft continuous functions in fuzzy soft topological spaces. Further optimal definitions of totally b continuous functions have also been brought out in the paper. A new space such as fuzzy soft b compact space is also initiated

(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

SOFT ALMOST β-CONTINUITY IN SOFT TOPOLOGICAL SPACES

Purpose: In the present paper the concept of soft almost β-continuous mappings and soft almost β-open mappings in soft topological spaces have been introduced and studied. Methodology: This notion is weaker than both soft almost pre-continuous mappings, soft almost semi-continuous mapping. The diagrams of implication among these soft classes of soft mappings have been established. Main Findings: We extend the concept of almost β-continuous mappings and almost β-open mappings in soft topology. Implications: Mapping is an important and major area of topology and it can give many relationships between other scientific areas and mathematical models. This notion captures the idea of hanging-togetherness of image elements in an object by assigning strength of connectedness to every possible path between every possible pair of image elements. It is an important tool for the designing of algorithms for image segmentation. The novelty of Study: Hope that the concepts and results established in this paper will help the researcher to enhance and promote the further study on soft topology to carry out a general framework for the development of information systems