A multi-objective programming problem and its equivalent goal programming problem with appropriate priorities and aspiration levels: A fuzzy approach

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Abstract

A method has been introduced here to convert a multi-objective programming problem into an equivalent goal programming problem by appropriately fixing priorities and goals. The conversion method introduced in this paper, uses the concepts of conflict among objectives and the theory of fuzzy sets. The method is applied in a real life urban scheduling problem of a State Transport Undertaking in India to highlight the method proposed here.

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Bhaba Krishna Mohanty is presently a Member of Technical Staff at the Tata Research Development and Design Centre, Pune, India. He has done his M.Sc. (Mathematics) in Berhampur University, Orissa, India and his PG Diploma in Mathematics and Doctorate in Operations Research at the Indian Institute of Technology, Kharagpur, India. He has published several papers in the journals of Fuzzy Sets and Systems, International Journal of Systems Science, International Journal of Production Research and Journal of Intelligent and Fuzzy Systems. He worked as an Associate Professor in the Xavier Institute of Management, Bhubaneswar, India and as a Scientist at CFTRI Mysore, India. His area of interest include MCDM, Fuzzy Logic, Software Reliability and Fuzzy Game Theory.

T. A. S. Vijayaraghavan is presently on the faculty at the Central Institute of Road Transport, Pune, India. He has done his M.Stat. and Postgraduate Diploma in SQC & OR in the Indian Statistical Institute, New Dehli, India and his doctoral program at the Indian Institute of Management, Bangalore, India. Prior to joining here he worked as an Associate Professor at the Xavier Institute of Management, Bhubaneswar, India in the area of Systems and Operations Management. He has published a number of articles and technical papers in National and International Journals. His area of interest include Operations Research, General Management and Transportation Planning.

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