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
StatePublished - 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

Fingerprint

Pattern recognition

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)

Fuzzy subgroups and coding theory. / Cheng, Shih-Chuan; Mordeson, John N.

Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries. ed. / P.P. Wang; J.C.-Y. Tyan; K. Kaneda. 1993. p. 1-3.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Cheng, S-C & Mordeson, JN 1993, Fuzzy subgroups and coding theory. in PP Wang, JC-Y Tyan & K Kaneda (eds), Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries. pp. 1-3, Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries, Durham, NC, United States, 10/13/93.
Cheng S-C, Mordeson JN. Fuzzy subgroups and coding theory. In Wang PP, Tyan JC-Y, Kaneda K, editors, Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries. 1993. p. 1-3
Cheng, Shih-Chuan ; Mordeson, John N. / Fuzzy subgroups and coding theory. Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries. editor / P.P. Wang ; J.C.-Y. Tyan ; K. Kaneda. 1993. pp. 1-3
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