t-Norms vs: Min in fuzzy algebra

Davender S. Malik; John N. Mordeson

t-Norms vs: Min in fuzzy algebra

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

One can define fuzzy substructures of algebraic structures by using arbitrary t-norms. Since Min is a t-norm, the given approach which redefined the notion of a fuzzy subgroup is more general. There are many important results which hold when Min is used which do not hold when Min is replaced by an arbitrary t-norm. This paper aims to compare the two approaches in detail.

Original language	English
Title of host publication	Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries
Editors	P.P. Wang, J.C.-Y. Tyan, K. Kaneda
Pages	132-134
Number of pages	3
State	Published - 1993
Event	Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries - Durham, NC, United States Duration: Oct 13 1993 → Oct 16 1993

Other

Other	Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries
Country	United States
City	Durham, NC
Period	10/13/93 → 10/16/93

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Computational Theory and Mathematics
Information Systems
Software

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title = "t-Norms vs: Min in fuzzy algebra",

abstract = "One can define fuzzy substructures of algebraic structures by using arbitrary t-norms. Since Min is a t-norm, the given approach which redefined the notion of a fuzzy subgroup is more general. There are many important results which hold when Min is used which do not hold when Min is replaced by an arbitrary t-norm. This paper aims to compare the two approaches in detail.",

author = "Malik, {Davender S.} and Mordeson, {John N.}",

year = "1993",

language = "English",

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editor = "P.P. Wang and J.C.-Y. Tyan and K. Kaneda",

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