A fuzzy extension of Saaty's priority theory
TL;DR: A fuzzy version of Saaty's pairwise comparison method (1980) extended by de Graan and Lootsma (1981), adapted in such a way, that decision-makers are asked to express their opinions in fuzzy numbers with triangular membership functions.
About: This article is published in Fuzzy Sets and Systems.The article was published on 1983-11-01. It has received 2631 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy set operations.
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TL;DR: The use of triangular fuzzy numbers for pairwise comprison scale of fuzzy AHP is introduced, and the use of the extent analysis method for the synthetic extent value S i of the pairwise comparison is used.
3,724 citations
Cites background or methods from "A fuzzy extension of Saaty's priori..."
...The ordering relation between the candidates is exactly the same as in [3]....
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...Since the publication of Saaty's The Analy t ic Hierarchy Process (for short AHP), Netherlands's scholars van Laarhoven and Pedrycg [3] proposed a method, where the fuzzy comparing judgment is represented by triangular fuzzy numbers....
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01 Jan 1999
TL;DR: A new method of finding the fuzzy weights in fuzzy hierarchical analysis which is the direct fuzzification of the original method used by Saaty (1980) in the analytic hierarchy process is presented.
Abstract: We present a new method of finding the fuzzy weights in fuzzy hierarchical analysis which is the direct fuzzification of the original method used by Saaty (1980) in the analytic hierarchy process. We test our new procedure in two cases where there are formulas for the crisp weights. An example is presented where there are five criteria and three alternatives.
2,789 citations
TL;DR: In this article, a fuzzy extended analytic hierarchy process (FEAHP) based methodology is discussed to tackle the different decision criteria like cost, quality, service performance and supplier's profile including the risk factors involved in the selection of global supplier in the current business scenario.
Abstract: Global supplier development is a multi-criterion decision problem which includes both qualitative and quantitative factors. The global supplier selection problem is more complex than domestic one and it needs more critical analysis. The aim of this paper is to identify and discuss some of the important and critical decision criteria including risk factors for the development of an efficient system for global supplier selection. Fuzzy extended analytic hierarchy process (FEAHP) based methodology will be discussed to tackle the different decision criteria like cost, quality, service performance and supplier's profile including the risk factors involved in the selection of global supplier in the current business scenario. FEAHP is an efficient tool to handle the fuzziness of the data involved in deciding the preferences of different decision variables. The linguistic level of comparisons produced by the customers and experts for each comparison are tapped in the form triangular fuzzy numbers to construct fuzzy pair-wise comparison matrices. The implementation of the system is demonstrated by a problem having four stages of hierarchy which contains different criteria and attributes at wider perspective. The proposed model can provide not only a framework for the organization to select the global supplier but also has the capability to deploy the organization's strategy to its supplier.
1,152 citations
TL;DR: In this article, the authors used fuzzy analytic hierarchy process (AHP) to select the best supplier firm providing the most satisfaction for the criteria determined by the purchasing managers of a white good manufacturer established in Turkey.
Abstract: A supplier selection decision inherently is a multi‐criterion problem. It is a decision of strategic importance to companies. The nature of this decision usually is complex and unstructured. Management science techniques might be helpful tools for these kinds of decision‐making problems. The aim of this paper is to use fuzzy analytic hierarchy process (AHP) to select the best supplier firm providing the most satisfaction for the criteria determined. The purchasing managers of a white good manufacturer established in Turkey were interviewed and the most important criteria taken into account by the managers while they were selecting their supplier firms were determined by a questionnaire. The fuzzy AHP was used to compare these supplier firms.
1,109 citations
Cites background from "A fuzzy extension of Saaty's priori..."
...This is because usually he/she is unable to explicit about his/her preferences due to the fuzzy nature of the comparison processThe earliest work in fuzzy AHP appeared in van Laarhoven and Pedrycz (1983)...
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TL;DR: New techniques for handling multicriteria fuzzy decision-making problems based on vague set theory can provide a useful way to efficiently help the decision-maker to make his decisions.
1,091 citations
References
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Book•
01 Jan 2011
TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
Abstract: (1982). Fuzzy Sets and Systems — Theory and Applications. Journal of the Operational Research Society: Vol. 33, No. 2, pp. 198-198.
5,861 citations
TL;DR: A method to deal with multiple-alternative decision problems under uncertainty by considering each of these variables as fuzzy quantities, characterized by appropriate membership functions of fuzzy sets induced by mappings is proposed.
737 citations
TL;DR: Methods of evaluating the parameter used in decision-making are given which can be varied to incorporate different utility functions and a new approach is described which overcomes their drawbacks.
260 citations
TL;DR: The qualitative terms of the alternatives are represented quantitatively using fuzzy sots and then the fuzzy optimal alternative is computed and gives the relative merit of each alternative and thus helps in decision making.
Abstract: In many situations one has to find the best alternative on the basis of many aspects which have varying degrees of importance. The problem is more complex if the ratings of the alternatives and the importance of the aspects are expressed using qualitative variables like good, fair, very important, etc. This paper presents a method for decision making in such situations. The qualitative terms are represented quantitatively using fuzzy sots and then the fuzzy optimal alternative is computed. The fuzzy set representing the optimal alternative gives the relative merit of each alternative and thus helps in decision making.
253 citations
TL;DR: In this paper, the authors briefly sketch Saaty's priority theory which has been developed to assign weights (priorities) to a multiple of decision criteria via pairwise comparison of the criteria.
90 citations