Environmental decision-making under uncertainty using intuitionistic fuzzy analytic hierarchy process (IF-AHP) |
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Authors: | Rehan Sadiq Solomon Tesfamariam |
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Institution: | (1) Urban Infrastructure Program, National Research Council Canada—Institute for Research in Construction, Ottawa, ON, Canada, K1A 0R6 |
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Abstract: | Analytic hierarchy process (AHP) is a utility theory based decision-making technique, which works on a premise that the decision-making
of complex problems can be handled by structuring them into simple and comprehensible hierarchical structures. However, AHP
involves human subjective evaluation, which introduces vagueness that necessitates the use of decision-making under uncertainty. The vagueness is commonly handled through fuzzy sets theory, by assigning degree of membership. But, the environmental decision-making
problem becomes more involved if there is an uncertainty in assigning the membership function (or degree of belief) to fuzzy pairwise comparisons, which is referred to as ambiguity (non-specificity). In this paper, the concept of intuitionistic fuzzy set is applied to AHP, called IF-AHP to handle both vagueness and ambiguity
related uncertainties in the environmental decision-making process. The proposed IF-AHP methodology is demonstrated with an
illustrative example to select best drilling fluid (mud) for drilling operations under multiple environmental criteria. |
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Keywords: | Analytic hierarchy process Intuitionistic fuzzy set Vagueness Ambiguity Drilling fluids Environmental decision-making |
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