Fuzzy subgroups and coding theory

Shih-Chuan Cheng, John N. Mordeson

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationSecond International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries
EditorsP.P. Wang, J.C.-Y. Tyan, K. Kaneda
Pages1-3
Number of pages3
Publication statusPublished - 1993
EventSecond International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries - Durham, NC, United States
Duration: Oct 13 1993Oct 16 1993

Other

OtherSecond International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries
CountryUnited States
CityDurham, NC
Period10/13/9310/16/93

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All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Information Systems
  • Software

Cite this

Cheng, S-C., & Mordeson, J. N. (1993). Fuzzy subgroups and coding theory. In P. P. Wang, JC-Y. Tyan, & K. Kaneda (Eds.), Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries (pp. 1-3)