Nonlinear programming with Trapezoidal intuitionistic fuzzy parameters
Downloads
DOI:
https://doi.org/10.26637/MJM0804/0129Abstract
This paper is focused on a new approach for solving nonlinear optimization problems under fuzzy environment. The coefficients of the objective function and constraints are considered to be trapezoidal intuitionistic fuzzy numbers. The fuzzy nonlinear problem is converted into crisp problem, using ranking function and the optimal solution is obtained. An example is illustrated to study the proposed method.
Keywords:
Fuzzy nonlinear programming, Trapezoidal Intuitionistic fuzzy numbers, Ranking functionMathematics Subject Classification:
Mathematics- Pages: 2088-2091
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
A. Akrami, M. M. Hosseini, An Efficient Method for Solving a Class of Nonlinear Fuzzy Optimization Problems, Journal of Mathematical Extension, 10(2)(2016), 101-116.
D. Anuradha and V. E. Sobana, Solving intuitionistic fuzzy multi-objective nonlinear programming problem, IOP Conference Series Materials Science and Engineering, 263(4)(2017), 042-104.
K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96.
M. S. Bazaraa, H. D. Sherali and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, 3rd edn. Wiley, Hoboken, 2006.
S. K. Behera and J. R. Nayak, Optimal solution of fuzzy nonlinear programming problems with linear constraints, International Journal of Advances in Science and Technology, 4(2)(2012), 43-91.
Bellman and L. A. Zadeh, Decision-marking in a fuzzy environment, Management Science, 17(4)(1970), 141164.
P. K. De, D. Das, Ranking of trapezoidal intuitionistic fuzzy numbers, In Proceedings of IEEE ISDA, (2012), $184-188$.
V. Lakshmana GomathiNayagam, G. Venkateshwari, Ranking of intuitionistic fuzzy numbers, In Proceedings of the IEEE International Conference on Fuzzy Systems (IEEE FUZZ2008), 1971-1974.
H. B. Mitchell, Ranking intuitionistic fuzzy numbers, International Journal of Uncertainty, Fuzziness and Knowledge Based Systems, 12(3)(2004), 377-386.
Ritika Chopra and RatneshR.Saxena, Linear programming problem with coefficient as trapezoidal intuitionistic fuzzy numbers, Advances in Fuzzy Mathematics, 14(2019), 41-52.
S. K. Singh and S. P. Yadav, Intuitionistic fuzzy nonlinear programming problem: Modeling and Optimization in manufacturing systems, Journal of Intelligent & Fuzzy Systems, 28(2015), 1421-1433.
VakkasUlucay, Irfan Deli, MehmitSahin, Intuitionistic trapezoidal fuzzy multi-numbers and its application to multi-criteria decision making problems, Complex and Intelligent Systems, 5(2019), 65-78.
J. Q. Wang and Z. Zhang, Multi-criteria decision making with incomplete certain information based on intuitionistic fuzzy number, Control Decision, 24(2009), 226-230.
- NA
Similar Articles
- R. Sumithra, M. A. Archana, R. K. Vanishree, Darcy-Benard surface tension driven convection in a composite layer with temperature dependent heat source , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.