Jayanta Ghosh

Bio: Jayanta Ghosh is an academic researcher from East Surrey Hospital. The author has contributed to research in topics: Ring (mathematics) & Fuzzy logic. The author has an hindex of 4, co-authored 11 publications receiving 57 citations.

Fuzzy Soft Rings and Fuzzy Soft Ideals

Abstract: In this paper, we define fuzzy soft ring and study some of its algebraic properties. Thereafter, we define fuzzy soft ideal and discuss a few of its properties.

A Note on Operations of Intuitionistic Fuzzy Soft Sets

Abstract: In this article, it an achievement for our part to be had of notions of a few operations on intuitionistic fuzzy soft sets and generalization of De Morgan's laws with respect to some operations in intuitionistic fuzzy soft set theory . It is being validated by suitable example. Thereafter properties like associative, distributive relative to dierent operations on intuitionistic fuzzy soft set are established and justied by suitable example. It is shown that Restricted symmetric dierence operation does not satisfy associative and restricted intersection does not distribute over restricted symmetric dierence in intuitionistic fuzzy soft set theory.

Hyperfuzzy Set and Hyperfuzzy Group

Abstract: In this paper the concept of hyperfuzzy set is introduced and thereafter we define hyperfuzzy subgroup and a few of its properties are discussed. Also we define hyperfuzzy cosets and hyperfuzzy normal subgroup and study a few of their properties.

Soft prime and semiprime int-ideals of a ring

Abstract: In this paper, some properties of soft radical of a soft int-ideal have been developed and soft prime int-ideal, soft semiprime int-ideal of a ring are defined. Several characterizations of soft prime (soft semiprime) int-ideals are investigated. Also it is shown that the direct and inverse images of soft prime (soft semiprime) int-ideals under homomorphism remains invariant.

On coincidence and fixed-point theorems in fuzzy symmetric spaces

Abstract: In this paper, common xed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space. Using weakly compatibility, property (E:A: ), we have generalized the common xed point theorems for a pair of weakly compatible self mappings, for four self mappings in fuzzy symmetric space. Also we have established the unique common xed point for four self mappings in this space.

Soft semi-open sets and related properties in soft topological spaces

Abstract: D. Molodtsov (1999) [1] introduced the concept of a soft set as a new approach for modeling uncertainties. Xiao et al. [7] and Pei and Miao [8] discussed the relationship between soft sets and information systems. They showed that soft sets are a class of special information systems. So it’s important to study the structures of soft sets for information systems. Shabir and Naz(2011) [20], studied the topological structures of soft sets. In this paper, we continue the study on soft topological spaces and investigate the properties of soft semi-open sets, semi-closed sets, soft semi-interior and soft semi-closure. Then discuss the relationship between soft semi-open (semi-closed) sets, soft semi-interior (semi-closure) and soft open (closed) sets, soft interior (closure) introduced in [20]. We also define and discuss the properties of soft semi-separation axioms which are important for further research on soft topology. These research not only can form the theoretical basis for further applications of topology on soft sets but also lead to the development of information systems.

Soft β-rough sets and their application to determine COVID-19

Abstract: Soft rough set theory has been presented as a basic mathematical model for decision-making for many real-life data However, soft rough sets are based on a possible fusion of rough sets and soft sets which were proposed by Feng et al [20] The main contribution of the present article is to introduce a modification and a generalization for Feng's approximations, namely, soft β -rough approximations, and some of their properties will be studied A comparison between the suggested approximations and the previous one [20] will be discussed Some examples are prepared to display the validness of these proposals Finally, we put an actual example of the infections of coronavirus (COVID-19) based on soft β -rough sets This application aims to know the persons most likely to be infected with COVID-19 via soft β -rough approximations and soft β -rough topologies [ABSTRACT FROM AUTHOR] Copyright of Turkish Journal of Mathematics is the property of Scientific and Technical Research Council of Turkey and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission However, users may print, download, or email articles for individual use This abstract may be abridged No warranty is given about the accuracy of the copy Users should refer to the original published version of the material for the full abstract (Copyright applies to all Abstracts )

An introduction to fuzzy soft graph

Abstract: The notions of fuzzy soft graph, union, intersection of two fuzzy soft graphs are introduced in this paper and a few properties relating to finite union and intersection of fuzzy soft graphs are established here.

Intuitionistic Neutrosphic Soft Set over Rings

Abstract: S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory. In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short ) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined. Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.

Development of Soft Set Theory

Abstract: In this paper, we give a crisp and critical survey of the development of soft set theory and enumerate some of its various applications in different direction to date. In particular, the work demonstrates that soft set theory can be applied to problems that contain uncertainties especially in decision making problems. These applications explain the voluminous work in this field within a short period of time. We emphasize that soft set has enough developed basic supporting structures through which various algebraic structures in theoretical point of view could be developed.