Abstract
Analytic Hierarchy Process (AHP) is one of the techniques commonly used for prioritizing different alternatives, by using complex criteria. In real applications, conventional AHP assumes the expert judgment as it is exact and use crisp number leading to inconsideration of the uncertainty that came from linguistic variable. Fuzzy logic deals with situations which are vague or unwell defined and gives a quantify value. In this study a comparison is made between traditional AHP and fuzzy AHP by taking a case of selecting an effective oil refinery. The selection is conducted using system effectiveness as a criterion. The two approaches have been compared on the same hierarchy structure and criteria set and the result show that in both case dual drum scheme (DDS) has the highest priority but different value that is 0.51 and 0.36 for AHP and FAHP respectively which shows that if the expert opinion is certain AHP should be used if not FAHP should be preferred
Highlights
In order to excel in the competitive market, industries need to make a faultless decision
In Fuzzy Analytic Hierarchy Process (FAHP), the pair wise comparison matrix is given by triangular fuzzy number and these numbers need to be changed to crisp number to calculate the consistency ratio
The comparative analysis of analytic hierarchy process (AHP) and FAHP is presented for the multi-criteria topping refineries
Summary
In order to excel in the competitive market, industries need to make a faultless decision. The method is used vastly in different applications due to its ability to make decisions by making a pair wise comparison of uncertain, qualitative and quantitative factors and its ability to model expert opinion In order to make the analysis results more reasonable, fuzzy set theory is used to deal with the problems of fuzziness This method is called Fuzzy Analytic Hierarchy Process (FAHP) which combines the fuzzy theory and AHP [4].Fuzzy theory overthrows the two/dual value (i.e. yes or no) and the principle of excluded middle, so that its multi-value could be pressed close to reality. In this paper a comparison will be made between the two methods (AHP and FAHP), to highlight the effect of linguistic judgment on the decision
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