IJPAM: Volume 112, No. 1 (2017)

Title

IMPLICATION-BASED T-FUZZY SUBGROUP OF
A FINITE GROUP AND ITS PROPERTIES

Authors

M. Selva Rathi$^1$, J. Michael Anna Spinneli$^2$
$^1$Department of Mathematics
Karunya University
Coimbatore, INDIA
$^2$Department of Mathematics
L.R.G. Government Arts College for Women
Tirupur, INDIA

Abstract

Based on the definition of implication-based fuzzy subgroup of a finite group given by Yuan, implication-based T- fuzzy subgroup and implication-based T- normal fuzzy subgroup of a finite group is defined. Some properties of them are proved in this paper. Also $T-$ product, $\dot{T}-$ product and $T^{'}-$ product of these implication-based T-fuzzy subgroups of a finite group are defined and its properties are discussed.

History

Received: September 29, 2016
Revised: December 2, 2016
Published: January 26, 2017

AMS Classification, Key Words

AMS Subject Classification: 03E72, 08A72, 20N25
Key Words and Phrases: implication-based fuzzy subgroup, implication-based T-fuzzy subgroup, implication-based T-fuzzy normal subgroup

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How to Cite?

DOI: 10.12732/ijpam.v112i1.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 1
Pages: 145 - 157


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