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38 a Genetic Algorithm Based Goal Programming Approach for Solving Interval Valued Bilevel Programming Problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pal, Bijay Baran Gupta, Somsubhra Debjani Chakrabort F. |
| Copyright Year | 2018 |
| Abstract | In this article, the efficient use of genetic algorithm (GA) for solving goal programming (GP) formulations of interval valued bilevel programming problems (IVBLPPs) in a hierarchical decision mating organization is presented. In the proposed approach, first the individual best and least solutions of the objectives of both the decision makers (DMs) located at the two hierarchical decision levels are determined by using an GA method. Then, the target interval for achievement of each of the objectives as well as the target interval of the decision vector controlled by the upper-level DM are defined in the inexact decision mating environment. In the executable goal programming (GP) formulation of the problem, the defined interval valued goals are transferred into the standard goals in GP by using the interval arithmetic technique in interval programming (IP) approach. In the solution process, both the aspects of minsum and minmax GP formulation are adopted to minimize the lower bounds of the regret intervals for goal achievement within the spec fled interval from the 447 448 International Conference on Rough Sets, Fuzzy Sets. optimistic point ofview and thereby distribution of proper decision powers to the DMs of the hierarchical levels. In the GA based solution searchprocess, the conventional Roulette wheel selection scheme, arithmetic crossover and random mutation are taken into consideration to reach a satisfactory decision. In the decision process, the GA scheme is directly used to the achievement function for minimizing the deviational variables of the goals in the decision making situation. A numerical example is solved to illustrate the proposed approach, and the obtained solution is compared with the conventional approach studied previously. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://shodhganga.inflibnet.ac.in/bitstream/10603/212480/21/21_reprints.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
