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A New Distance Formula for Fuzzy Environment

by A. Praveen Prakash, M.P. Kannan, J. Esther Jerlin
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 140 - Number 5
Year of Publication: 2016
Authors: A. Praveen Prakash, M.P. Kannan, J. Esther Jerlin
10.5120/ijca2016909297

A. Praveen Prakash, M.P. Kannan, J. Esther Jerlin . A New Distance Formula for Fuzzy Environment. International Journal of Computer Applications. 140, 5 ( April 2016), 11-14. DOI=10.5120/ijca2016909297

@article{ 10.5120/ijca2016909297,
author = { A. Praveen Prakash, M.P. Kannan, J. Esther Jerlin },
title = { A New Distance Formula for Fuzzy Environment },
journal = { International Journal of Computer Applications },
issue_date = { April 2016 },
volume = { 140 },
number = { 5 },
month = { April },
year = { 2016 },
issn = { 0975-8887 },
pages = { 11-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume140/number5/24589-2016909297/ },
doi = { 10.5120/ijca2016909297 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:41:28.134215+05:30
%A A. Praveen Prakash
%A M.P. Kannan
%A J. Esther Jerlin
%T A New Distance Formula for Fuzzy Environment
%J International Journal of Computer Applications
%@ 0975-8887
%V 140
%N 5
%P 11-14
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A new distance formula for the two triangular fuzzy numbers is proposed to obtain the best among the alternatives. The newly proposed distance formula is applied in Topsis method, to rank the alternatives according to its closeness coefficient values. This paper consists of four sections. Section one describes the fuzziness that most ladies and others experience in selecting the saree to their taste. Section two gives the proposed distance and its properties. Section three gives the application of the proposed distance in real life situation. And the fourth section gives the conclusion of the problem.

References
  1. Kaufmann, “Introduction to the Theory of Fuzzy Subsets”, Academic Press, INC. (LONDON) LTD, 1975.
  2. Yager,R.R., Fuzzy Decision making including Unequal Objective, Fuzzy Sets and Sysytems, 1978.
  3. Zadeh, L.A., A Theory of Approximate Reasoning, Machine Intelligence, 1979.
  4. Kosko, “Neural Networks and Fuzzy systems: A Dynamical System Approach to Machine Intelligence”, Prentice Hall of India, 1997.
  5. Chen, C.T, “Extension of Topsis for Group Decision Making Under Fuzzy Environment”, Fuzzy Sets and Systems, 2000.
  6. W.B Vasantha Kandasamy and Smarandache Florentin; ‘Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps’, Xiquan, Phoenix, 2003.
  7. H.J. Zimmermann, “Fuzzy Set Theory and its application”, Fourth Edition Springer 2011.
  8. “Multi criteria Decision Making in Fuzzy Environment using Topsis Method”, International Journal of Bulletin of Pure and Applied Sciences, Vol-26E (No.2), 2007.
  9. M.Clement Joe Anand , A.Victor Devadoss, “Using new Triangular Fuzzy Cognitive Maps(TRFCM) to analyze causes of Divorce in Family”, International Journal of Communications and networking Systems vol 02,pages;205-213,Integrated Intelligent Research(IIR)205.
Index Terms

Computer Science
Information Sciences

Keywords

Saree selection Topsis method Triangular Fuzzy numbers Distance formula.

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