Fuzzy subgroups and coding theory

Shih-Chuan Cheng; John N. Mordeson

Fuzzy subgroups and coding theory

Department of Mathematics

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

Abstract

The notion of a fuzzy subgroup of G was introduced. It was shown that although such classes look different, each fuzzy subgroup in either was isomorphic to one in the other. In addition, it was shown that a fuzzy subgroup satisfies the definition of fuzzy subgroup with T='minimum' if and only if it was a fuzzy subgroup generated of a very special type. This paper shows how the abstract pattern recognition problems developed can be used to examine the faithfulness of a device F which decodes message transmitted across a noisy channel.

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	1-3
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 = "Fuzzy subgroups and coding theory",

abstract = "The notion of a fuzzy subgroup of G was introduced. It was shown that although such classes look different, each fuzzy subgroup in either was isomorphic to one in the other. In addition, it was shown that a fuzzy subgroup satisfies the definition of fuzzy subgroup with T='minimum' if and only if it was a fuzzy subgroup generated of a very special type. This paper shows how the abstract pattern recognition problems developed can be used to examine the faithfulness of a device F which decodes message transmitted across a noisy channel.",

author = "Shih-Chuan Cheng and Mordeson, {John N.}",

year = "1993",

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

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AB - The notion of a fuzzy subgroup of G was introduced. It was shown that although such classes look different, each fuzzy subgroup in either was isomorphic to one in the other. In addition, it was shown that a fuzzy subgroup satisfies the definition of fuzzy subgroup with T='minimum' if and only if it was a fuzzy subgroup generated of a very special type. This paper shows how the abstract pattern recognition problems developed can be used to examine the faithfulness of a device F which decodes message transmitted across a noisy channel.

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