A New Approach on Solving Intuitionistic Fuzzy Nonlinear Programming Problem
Keywords:
Intuitionistic fuzzy set, Triangular Intuitionistic fuzzy numbers, membership and non-membership value, Ambiguity, score valueAbstract
In this paper we propose an algorithm for solving Intuitionistic fuzzy nonlinear programming problems (IFNLPP) involving triangular Intuitionistic fuzzy numbers (TIFN). Here, the multi-objective nonlinear problem is converted into a single objective nonlinear programming problem and the problem is defuzzified by using triangular Intuitionistic fuzzy numbers. Then the problem is converted into crisp nonlinear programming problem. Numerical examples are provided to show the efficiency of the proposed algorithm.
References
sanjaya Kumar Behera., Jyoti Ranjan Nayak., Solutions of Multi-Obective Programmig Problems in Fuzzy approach, International Journal of Computer Science and Engineering, Vol.3, Issue 12, pp. 3790-3799, 2011.
K.T Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.20, pp. 87-96, 1986.
Dipti Dubey., Aparna Mehra., Linear Programming with Triangular Intuitionistic Fuzzy Number, Advances in Intelligent Systems research, Vol.1, pp. 563-569, 2011.
D.F Li, J.X Nan, and M.J Zhang , A ranking method of triangular intuitionistic fuzzy numbers and application to decision making, International Journal of Computational Intelligence Systems, Vol.3, Issue 5, pp.522-530, 2010.
Deng-Feng-Li, A ratio ranking method of Triangular Intuitionic fuzzy number and its Application to MADM problems, computers Mathematics with applications, Vol.60, pp.1557-1570, 2010.
S.Salahshour, G.A Shekari, A. Hakimzadeh, A Novel approach Ranking triangular Intuitionistic fuzzy numbers, AWER Proedia Information Technology, Vol.1, pp.442-446, 2012.
L.A Zadeh, Fuzzy sets Information and Control, Vol.8, pp. 338 – 353, 1969.
P. Burillo, H. Bustince, V. Mohedano, Some definitions of intuitionistic fuzzy number. First Properties; the Proceedings of the 1st Workshop on Fuzzy Based Expert Systems, 1994.
J.Q Wang, Z. Zhang, Multi-criteria decision-making method with incomplete certain Information based on intuitionistic fuzzy number, Control and Decision, Vol.24, Issue 2, pp.226-230, 2009.
V.L.G Nayagam, G.Venkateshwari and G.Sivaraman, Ranking of intuitionistic fuzzy numbers, IEEE International Conference, pp.1971-1974, 2008.
Palash Dutta, Hrishikesh Boruah, Tazid Ali, Fuzzy Arithmetic with and without using α–cut method: A comparative study, International Journal of Latest trends in Computing, Vol.2, Issue.1, pp. 99-107, 2011.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors contributing to this journal agree to publish their articles under the Creative Commons Attribution 4.0 International License, allowing third parties to share their work (copy, distribute, transmit) and to adapt it, under the condition that the authors are given credit and that in the event of reuse or distribution, the terms of this license are made clear.
