On rough and LT-fuzzy sets

A. Wasilewska

On rough and LT-fuzzy sets

A. Wasilewska

Computer Science

Research output: Contribution to conference › Paper › peer-review

Abstract

A concept of LT-fuzzy sets was introduced by Rasiowa and Cat Ho (1992)¹⁰. LT-fuzzy sets are a modification of L-fuzzy sets introduced by Goguen (1967)³. We introduce here a notion of a generalized rough set and show that it can be considered as a particular case of a L-fuzzy set. We also generalize the notion of a rough equality of sets, introduced by Pawlak in 1985⁴ to a notion of topological equality of sets and we prove that the LT-fuzzy sets provide a common characterization for all of the considered concepts.

Original language	English
Pages	13-17
Number of pages	5
State	Published - 1996
Event	Proceedings of the 1996 Asian Fuzzy Systems Symposium - Kenting, Taiwan Duration: Dec 11 1996 → Dec 14 1996

Conference

Conference	Proceedings of the 1996 Asian Fuzzy Systems Symposium
City	Kenting, Taiwan
Period	12/11/96 → 12/14/96

Cite this

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abstract = "A concept of LT-fuzzy sets was introduced by Rasiowa and Cat Ho (1992)10. LT-fuzzy sets are a modification of L-fuzzy sets introduced by Goguen (1967)3. We introduce here a notion of a generalized rough set and show that it can be considered as a particular case of a L-fuzzy set. We also generalize the notion of a rough equality of sets, introduced by Pawlak in 19854 to a notion of topological equality of sets and we prove that the LT-fuzzy sets provide a common characterization for all of the considered concepts.",

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AB - A concept of LT-fuzzy sets was introduced by Rasiowa and Cat Ho (1992)10. LT-fuzzy sets are a modification of L-fuzzy sets introduced by Goguen (1967)3. We introduce here a notion of a generalized rough set and show that it can be considered as a particular case of a L-fuzzy set. We also generalize the notion of a rough equality of sets, introduced by Pawlak in 19854 to a notion of topological equality of sets and we prove that the LT-fuzzy sets provide a common characterization for all of the considered concepts.

UR - https://www.scopus.com/pages/publications/0030350088

M3 - Paper

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SP - 13

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T2 - Proceedings of the 1996 Asian Fuzzy Systems Symposium

Y2 - 11 December 1996 through 14 December 1996

ER -

On rough and LT-fuzzy sets

Abstract

Conference

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