Mathematics and Statistics Vol. 12(2), pp. 126 - 134
DOI: 10.13189/ms.2024.120202
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A Pivotal Operation on Triangular Fuzzy Number for Solving Fuzzy Nonlinear Programming Problems

D. Bharathi , A. Saraswathi ^*
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, India

ABSTRACT

Fuzzy nonlinear programming plays a vital role in decision-making where uncertainties and nonlinearity significantly impact outcomes. Real-world situations often involve imprecise or vague information. Fuzzy nonlinear programming allows for the representation of uncertainty through fuzzy sets, enabling more accurate modeling of real-world complexities. Many optimization problems exhibit nonlinear relationships among variables. Fuzzy nonlinear programming addresses these complex relationships, providing solutions that linear programming methods cannot accommodate. The objective of this research article proposes Fuzzy Non-Linear Programming Problems (FNLPP) under environment of triangular Fuzzy numbers. This paper proposed a method based on the pivotal operation with aid of Wolfe's technique. Fuzzy non-linear programming is an area of study that deals with optimization problems in which the objective function and constraints involve fuzzy numbers, which represent uncertainty or vagueness in real-world data. We claim that the proposed method is easier to understand and apply compared to existing methods for solving similar problems that arise in real-life situations. To demonstrate the effectiveness of the method, the authors have solved a numerical example and provided illustrations in the paper. This proposed method in the paper aims to address such complexities and find solutions to these problems more efficiently.

KEYWORDS
Fuzzy Non Linear Programming Problem, Fuzzy Optimal Solution, Pivotal Operation, Triangular Fuzzy Number

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] D. Bharathi , A. Saraswathi , "A Pivotal Operation on Triangular Fuzzy Number for Solving Fuzzy Nonlinear Programming Problems," Mathematics and Statistics, Vol. 12, No. 2, pp. 126 - 134, 2024. DOI: 10.13189/ms.2024.120202.

(b). APA Format:
D. Bharathi , A. Saraswathi (2024). A Pivotal Operation on Triangular Fuzzy Number for Solving Fuzzy Nonlinear Programming Problems. Mathematics and Statistics, 12(2), 126 - 134. DOI: 10.13189/ms.2024.120202.