ES structure based on soft J-subset

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Chen, Xi ORCID: 0000-0002-2634-8641, Yadav, Pooja, Singh, Rashmi and Islam, Sardar M. N ORCID: 0000-0001-9451-7390 (2023) ES structure based on soft J-subset. Mathematics, 11 (4). ISSN 2227-7390


The ES structure described by soft subsets or soft M-subsets does not yield a lattice structure due to its restriction on parameter sets, and so cannot be used in information theory. This study proposes a new ES structure on soft sets that addresses the deficiencies of the prior structure. Using mathematical concepts, we can construct and entirely new system of soft sets. As a result, the ES structure is derived from a finite collection of basic soft sets and offers complicated soft sets via its ES components, allowing for it to be operated by computers, as this is more acceptable to conventional mathematical viewpoints. We rewrote this using a soft J-subset and demonstrated that (ES, (Formula presented.), (Formula presented.)) is a distributive lattice. This will play an important role in decision-making problems and contribute to a better understanding of human recognition processes. During the process of reaching a decision, several groups of parameters develop, and the ES structure in this article takes these parameters into consideration in order to handle the intricate issues that arise. In soft set theory, this research gives insight into the cognitive field.

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Item type Article
DOI 10.3390/math11040853
Official URL
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > Institute for Sustainable Industries and Liveable Cities
Keywords ES structure, soft subsets, information theory, soft set theory, decision making processes
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