Redundancy of fuzzy soft topological spaces

Fu Gui Shi; Bin Pang

doi:10.3233/IFS-141141

Redundancy of fuzzy soft topological spaces

Fu Gui Shi^*, Bin Pang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, it is shown that there is a complement preserving isomorphism (preserving arbitrary union and arbitrary intersection) between the lattice (FS(X,E),) of all fuzzy soft sets on X and the I-powerset lattice (I^{X × E},≤) of all fuzzy subsets of X × E. It therefore follows that fuzzy soft topologies are redundant and unnecessarily complicated in theoretical sense.

Original language	English
Pages (from-to)	1757-1760
Number of pages	4
Journal	Journal of Intelligent and Fuzzy Systems
Volume	27
Issue number	4
DOIs	https://doi.org/10.3233/IFS-141141
Publication status	Published - 2014

Keywords

Fuzzy set
fuzzy soft set
fuzzy soft topology
soft set

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10.3233/IFS-141141

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Shi, F. G., & Pang, B. (2014). Redundancy of fuzzy soft topological spaces. Journal of Intelligent and Fuzzy Systems, 27(4), 1757-1760. https://doi.org/10.3233/IFS-141141

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Redundancy of fuzzy soft topological spaces

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Keywords

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