ES Structure Based on Soft J-Subset

Xi Chen, Pooja Yadav, Rashmi Singh () and Sardar M. N. Islam
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Xi Chen: School of Business, Nanjing University, Nanjing 210093, China
Pooja Yadav: Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida 201303, India
Rashmi Singh: Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida 201303, India
Sardar M. N. Islam: Institute for Sustainable Industries and Livable Cities, Victoria University, Melbourne, VIC 3000, Australia

Mathematics, 2023, vol. 11, issue 4, 1-9

Abstract: 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, ∨ ˜ E S , ∧ ˜ E S ) 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.

Keywords: soft sets; soft M-subset; soft J-subset; lattice; ES structure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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