Applications of fuzzy algebra in automata theory and coding theory

Shih-Chuan Cheng; John N. Mordeson

Applications of fuzzy algebra in automata theory and coding theory

Shih-Chuan Cheng, John N. Mordeson

Department of Mathematics

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

3 Scopus citations

Abstract

We apply fuzzy semigroup theory to show that (fuzzy) automata with fuzzy input are equivalent to (fuzzy) automata with crisp input. We use fuzzy group theory to show how abstract pattern recognition problems can be used to examine the faithfulness of a device which decodes messages transmitted across a noisy channel.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Publisher	IEEE
Pages	125-129
Number of pages	5
Volume	1
State	Published - 1996
Event	Proceedings of the 1996 5th IEEE International Conference on Fuzzy Systems. Part 1 (of 3) - New Orleans, LA, USA Duration: Sep 8 1996 → Sep 11 1996

Other

Other	Proceedings of the 1996 5th IEEE International Conference on Fuzzy Systems. Part 1 (of 3)
City	New Orleans, LA, USA
Period	9/8/96 → 9/11/96

All Science Journal Classification (ASJC) codes

Chemical Health and Safety
Software
Safety, Risk, Reliability and Quality

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title = "Applications of fuzzy algebra in automata theory and coding theory",

abstract = "We apply fuzzy semigroup theory to show that (fuzzy) automata with fuzzy input are equivalent to (fuzzy) automata with crisp input. We use fuzzy group theory to show how abstract pattern recognition problems can be used to examine the faithfulness of a device which decodes messages transmitted across a noisy channel.",

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

year = "1996",

language = "English",

volume = "1",

pages = "125--129",

booktitle = "IEEE International Conference on Fuzzy Systems",

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TY - GEN

T1 - Applications of fuzzy algebra in automata theory and coding theory

AU - Cheng, Shih-Chuan

AU - Mordeson, John N.

PY - 1996

Y1 - 1996

N2 - We apply fuzzy semigroup theory to show that (fuzzy) automata with fuzzy input are equivalent to (fuzzy) automata with crisp input. We use fuzzy group theory to show how abstract pattern recognition problems can be used to examine the faithfulness of a device which decodes messages transmitted across a noisy channel.

AB - We apply fuzzy semigroup theory to show that (fuzzy) automata with fuzzy input are equivalent to (fuzzy) automata with crisp input. We use fuzzy group theory to show how abstract pattern recognition problems can be used to examine the faithfulness of a device which decodes messages transmitted across a noisy channel.

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UR - http://www.scopus.com/inward/citedby.url?scp=0030377684&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030377684

VL - 1

SP - 125

EP - 129

BT - IEEE International Conference on Fuzzy Systems

PB - IEEE

Y2 - 8 September 1996 through 11 September 1996

ER -

Applications of fuzzy algebra in automata theory and coding theory

Abstract

Other

All Science Journal Classification (ASJC) codes

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