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Optimization under Generalized Intuitionistic Fuzzy Environment

by Arindam Garai, Tapan Kumar Ray
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 73 - Number 13
Year of Publication: 2013
Authors: Arindam Garai, Tapan Kumar Ray
10.5120/12801-9953

Arindam Garai, Tapan Kumar Ray . Optimization under Generalized Intuitionistic Fuzzy Environment. International Journal of Computer Applications. 73, 13 ( July 2013), 20-23. DOI=10.5120/12801-9953

@article{ 10.5120/12801-9953,
author = { Arindam Garai, Tapan Kumar Ray },
title = { Optimization under Generalized Intuitionistic Fuzzy Environment },
journal = { International Journal of Computer Applications },
issue_date = { July 2013 },
volume = { 73 },
number = { 13 },
month = { July },
year = { 2013 },
issn = { 0975-8887 },
pages = { 20-23 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume73/number13/12801-9953/ },
doi = { 10.5120/12801-9953 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:39:59.785999+05:30
%A Arindam Garai
%A Tapan Kumar Ray
%T Optimization under Generalized Intuitionistic Fuzzy Environment
%J International Journal of Computer Applications
%@ 0975-8887
%V 73
%N 13
%P 20-23
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents the concept of generalized intuitionistic fuzzy set (GIFS) and optimization technique under generalized intuitionistic fuzzy environment. The idea of GIFS was introduced by Tapas K. Modal et al. Here, another new GIFS has been introduced. Solution technique of optimization problem involving both types of GIFS has been discussed. For the sake of simplicity alone, the same problem, as studied by Angelov, who first well developed the intuitionistic fuzzy optimization technique in 1997, is taken. Conclusions are obtained finally.

References
  1. Angelov, P. 1997 Optimization in an intuitionistic fuzzy environment. Fuzzy Sets and Systems, Vol. 86, 299-306.
  2. Atanassov, K. T. 1986 Ideas for intuitionistic fuzzy sets equations, inequalities and optimization. Notes on Intuitionistic Fuzzy Sets, Vol. 1, No. 1, 17–24.
  3. Atanassov, K. T. 2000 Two theorems for intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 110, 2000, 267–269.
  4. Bellman, R. E. Zadeh, L. A. 1970 Decision making in a fuzzy environment, Management Science, Vol. 17, B141–B164.
  5. Roy, Kr. T. Banerjee, S. 2010 Solution of Single and Multi objective Stochastic Inventory Models with Fuzzy Cost Components by Intuitionistic Fuzzy Optimization Technique. Advances in Operation Research.
  6. Szmidt, E. Kacprzyk, J. 1997 Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 114, 505–518.
  7. Mondal, T. K. and Samanta, S. K. Generalized Intuitionistic Fuzzy Set.
  8. Zadeh, L. A. 1965 Fuzzy sets. Information and Control, 8, 338-356.
  9. Agarwala, Manish. Biswasa, Kanad K. and Hanmandlu, Madasu. 2013 Generalized intuitionistic fuzzy soft sets with applications in decision-making, Applied Soft Computing, Vol. 13, Issue 8, 3552–3566.
  10. Hanafy, I. M. Salama, A. A. Mahfouz, K. M. A. 2012 Correlation coefficients of generalized intuitionistic fuzzy sets by centroid method, IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), Vol. 3, Issue 5, 11-14.
  11. Sua, Zhi-xin. Xiaa, Guo-ping. Chenb Ming-yuan and Wanga. Li. 2012 Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making. Expert Systems with Applications, Vol. 39, Issue 2, 1902–1910.
Index Terms

Computer Science
Information Sciences

Keywords

Type I generalized intuitionistic fuzzy set type II generalized intuitionistic fuzzy set intuitionistic fuzzy optimization generalized intuitionistic fuzzy optimization.

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