Fuzzy Application to the Analytic Hierarchy Process for Robot Selection

Authors:
Vikas Kapoor;Shyam Singh Tak
Affiliations:
Department of Production and Industrial Engineering, Faculty of Engineering, Jai Narain Vyas University, Jodhpur, India 342011;Rajasthan Public Service Commission, Ajmer, India
Venue:
Fuzzy Optimization and Decision Making
Year:
2005

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Abstract

The problem of Robot Selection is of great relevance in the present times of automation. Traditionally such problems were addressed using conventional techniques of Multi Criteria Decision Making such as The Analytic Hierarchy Process (AHP) and The Multi Attribute Utility Theory (MAUT). This paper proposes a methodology for solving common Robot Selection problems using a modification of the conventional AHP by incorporating `Fuzzy Linguistic Variables' in place of numbers. The methodology encapsulates creation of Fuzzy Interface for conversion of input and output variables into suitable linguistic variables. Further, employing the fuzzification process by assigning the linguistic variables to numerical values of the membership functions and formulating suitable decision rules, the procedure culminates into the defuzzification process for converting fuzzy output into crisp value and obtaining the result in the form of Fuzzy Score. The proposed model is explained using a numerical example. The paper also presents a validation of the proposed methodology over real world problems and provides directions for future research towards the end.