Note for Hypersoft Filter and Fuzzy Hypersoft Filter

In set theory, a filter is a collection of sets that is closed under intersection and includes all supersets of its elements. Within the framework of soft sets mathematical tools developed to handle uncertainty through parameterized subsets-filters and ultrafilters have also been introduced, with further expansions made in fuzzy set theory and Neutrosophic set theory. In this short paper, we introduce the novel concept of a hypersoft filter and provide a brief discussion of its implications.

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Publication Details

Journal
Multicriteria Algorithms with Applications
Published
2024-11-18
DOI
https://doi.org/10.61356/j.mawa.2024.5424
Primary Topic
Fuzzy Logic and Control Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Note for Hypersoft Filter and Fuzzy Hypersoft Filter

Takaaki Fujita
Multicriteria Algorithms with Applications
Fuzzy Logic and Control Systems
article

Note for Hypersoft Filter and Fuzzy Hypersoft Filter

Takaaki Fujita
article en

Abstract

In set theory, a filter is a collection of sets that is closed under intersection and includes all supersets of its elements. Within the framework of soft sets mathematical tools developed to handle uncertainty through parameterized subsets-filters and ultrafilters have also been introduced, with further expansions made in fuzzy set theory and Neutrosophic set theory. In this short paper, we introduce the novel concept of a hypersoft filter and provide a brief discussion of its implications.

Multicriteria Algorithms with ApplicationsVol. 5
Shinjuku College of Information Technology (JP)
Openalex Percentile: Top 81%
Fuzzy Logic and Control Systems
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