Selection of Plant Location using Consistent FAHP and Goal Programming Technique
G. Nirmala1, G. Uthra2

1G. Nirmala, Assistant Professor, Department of Mathematics, Sri Sai Ram Engneering College, Chennai (Tamil Nadu), India.
2G. Uthra, Assistant Professor, Department of Mathematics, Pachiyappa’s College, Chennai (Tamil Nadu), India.
Manuscript received on 19 January 2020 | Revised Manuscript received on 02 February 2020 | Manuscript Published on 05 February 2020 | PP: 164-169 | Volume-8 Issue-4S5 December 2019 | Retrieval Number: D10291284S519/2019©BEIESP | DOI: 10.35940/ijrte.D1029.1284S519
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Abstract: Hierarchy Process (AHP) is one of the effectively used tools for solving Multi Criteria decision making problem. In AHP the decision maker’s ambiguity and uncertainty cannot be handled. To solve this, AHP is extended in Fuzzy environment. In this paper a new method of Fuzzy AHP based on multiplicative consistent fuzzy preference relation is introduced. In this method, an iterative algorithm is given to construct comparison matrices from n (n-1)/2 preferences .From these comparison matrices the weight vectors are evaluated by goal programming technique. The validity of this method is checked by applying this it to a solved problem in the literature and it is found that this method yields the same result. Location of a manufacturing plant has a significant impact on the performance of the company as it minimizes the cost and maximizes the use of resource. A manufacturing industry wants to select a location for its new plant. The method proposed in this paper is applied to select the best location out of several alternatives with the real time data.
Keywords: Analytic Hierarchy process, Consistency, Fuzzy Preference Relation, Location Selection, Multi Criteria Decision Making Problem.
Scope of the Article: Cryptography and Applied Mathematics