On solving a Fuzzy Optimal Subdivision
Problem using Fuzzy Dynamic Programming

T. Nagalakshmi; G. Uthra

doi:https://doi.org/10.14445/22315373/IJMTT-V56P535

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 4 | Year 2018 | Article Id. IJMTT-V56P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P535

On solving a Fuzzy Optimal Subdivision Problem using Fuzzy Dynamic Programming

T. Nagalakshmi, G. Uthra

Citation :

T. Nagalakshmi, G. Uthra, "On solving a Fuzzy Optimal Subdivision Problem using Fuzzy Dynamic Programming," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 4, pp. 244-251, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P535

Abstract

The mathematical technique of optimizing a sequence of interrelated decisions over a period of time is called Dynamic Programming. In many real life situations the decision making process consists of selecting a combination of plans from a large number of alternative combinations in fuzzy environments. In this paper, a new fuzzy approach is proposed to solve a fuzzy optimal subdivision problem where the positive quantity which is to be divided is taken as trapezoidal fuzzy number. The solution is obtained by the method of Mathematical Induction. The specific feature of this proposed approach is that the vagueness and imprecision in the optimal subdivision models is easily eliminated by fuzzy dynamic programming.

Keywords

Fuzzy dynamic Programming, Trapezoidal Fuzzy numbers, Mathematical Induction

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