IJPAM: Volume 117, No. 3 (2017)

Title

A STUDY ON THE VALUES IN A FAMILY USING
THE NEW TRIANGULAR FUZZY COGNITIVE
RELATIONAL MAPS (TrFCRM)

Authors

A. Victor Devadoss$^1$, A. Lincy Amala Celine$^2$
$^{1,2}$Department of Mathematics
Loyola College
Chennai, 600034, INDIA

Abstract

The main objective of this paper is to introduce a new fuzzy bimodel called Triangular Fuzzy Cognitive Relational Maps (TrFCRM). This model gives both the causal relationship as well the ranking of the attributes in the system involved. Using this bimodel an analysis is made on the values in a family across three generations and whether the present generation parents have succeeded in implanting the basic values in the children or not. As the importance a person gives for the basic values in his day to day life is subjective from person to person, fuzzy logic can be applied to study this problem. Based on this study conclusions are derived. The first section is of introductory nature. The second section gives the description of the problem of study. The third section derives the definitions and method of determining the hidden pattern by the TrFCRM. The fourth section deals with the adaptation of the new model to the problem of study. And the conclusions are derived in the last section.

History

Received: 2017-02-27
Revised: 2017-11-27
Published: January 15, 2018

AMS Classification, Key Words

AMS Subject Classification: 03E72
Key Words and Phrases: triangular fuzzy numbers, FCRM, TrFCRM, fixed point, family, values

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How to Cite?

DOI: 10.12732/ijpam.v117i3.4 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: 117
Issue: 3
Pages: 393 - 400


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