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Author: search.filters.author.Gupta, VishalSubject: search.filters.subject.AHP

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    Comparative Performance of Contradictory and Non-Contradictory Judgement Matrices in AHP Under Qualitative and Quantitative Metrics
    (IGI Global, 2018) Gupta, Vishal
    Over the years, although AHP has proved its success in various diverse fields, many authors in the literature have also shown its shortcomings, often called as criticisms of AHP. One such criticism is allowing the consideration of contradictory judgement matrices. Such matrices violate the principle of ordinal transitivity and thus there does not exist any ranking of corresponding decision elements which satisfy all the judgements. In this paper, the results of our investigation towards measuring this criticism are further explored and discussed by comparing the quality of priority vector of contradictory judgement matrices and non-contradictory judgement matrices under Rank Reversals and the common frame work of “aggregated deviation”. The results further strengthen the notion of contradictory judgement matrices as a strong criticism of AHP for higher order judgement matrices and necessitate some proper avoidance (if not elimination) procedure for them.
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    An experimental measurement of contradictory judgement matrices in AHP
    (IEEE, 2012) Rohil, Mukesh Kumar; Gupta, Vishal
    Often Multi Criteria Decision Making (MCDM) techniques are used to assist in deciding a best choice, or alternative, in many different types of environment. Analytic Hierarchy Process (AHP) is one of the most popular MCDM technique used in variety of domains. It not only generates numerical order of alternatives that indicates an order of preference among them but also reflect there intensity or cardinal preference among them. Despite its advantages and popularity, AHP is often criticized in the literature for many reasons. One such reason is the Consistency Index which it requires to compute for every judgement matrix. As a result of this, it allows the consideration of Contradictory matrices for which no true ordinal ranking satisfying all the relations contained in the judgement matrix can exist. This paper shows the results of an experimental analysis as an attempt to measure the magnitude of this problem. Results show that as the order of pair wise comparison matricx increases the intensity of this problem also increases.