Applications of the extent analysis method on fuzzy AHP
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.
About: This article is published in European Journal of Operational Research.The article was published on 1996-12-20. It has received 3724 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy set operations.
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Journal Article•
TL;DR: An integrated framework based on fuzzy-QFD and a fuzzy optimization model is proposed to determine the product technical requirements (PTRs) to be considered in designing a product.
Abstract: In both the quality improvement and the design of a product, the engineering characteristics affecting product performance are primarily identified and improved to optimize customer needs (CNs). Especially, the limited resources and increased market competition and product complexity require a customer-driven quality management and product development system achieving higher customer satisfaction. Quality function deployment (QFD) is used as a powerful tool for improving product design and quality, and procuring a customer-driven quality system. In this paper, an integrated framework based on fuzzy-QFD and a fuzzy optimization model is proposed to determine the product technical requirements (PTRs) to be considered in designing a product. The coefficients of the objective function are obtained from a fuzzy analytic network process (ANP) approach. Fuzzy analytic hierarchy process (AHP) is also used in the proposed framework. An application in a Turkish Company producing PVC window and door systems is presented to illustrate the proposed framework.
597 citations
Cites background or methods from "Applications of the extent analysis..."
...Numerical data obtained across a human subjectivity are called fuzzy data....
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...A fuzzy set is a class of objects with a continuum of grades of membership....
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...There are various types of fuzzy AHP methods in the literature (such as Laarhoven and Pedrycz, 1983; Buckley, 1985; Chang, 1996; Leung and Cao, 2000)....
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...The theory also allows mathematical operators and programming to apply to the fuzzy domain....
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TL;DR: A new approach for deriving priorities from fuzzy pairwise comparison judgements is proposed, based on α-cuts decomposition of the fuzzy judgements into a series of interval comparisons, which requires the solution of a non-linear optimisation program.
576 citations
Cites background from "Applications of the extent analysis..."
...Another approach for fuzzy prioritisation, called synthetic extent analysis, is given in [9]....
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TL;DR: In this article, a multi-objective possibilistic mixed integer linear programming model (MOPMILP) is proposed for integrating procurement, production and distribution planning considering various conflicting objectives simultaneously as well as the imprecise nature of some critical parameters such as market demands, cost/time coefficients and capacity levels.
570 citations
Cites methods from "Applications of the extent analysis..."
...These global weights could be generated using, for example, the fuzzy analytical hierarchy process (FAHP) [4,25]....
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TL;DR: This study presents an integrated approach for selecting the appropriate supplier in the supply chain, addressing the carbon emission issue, using fuzzy-AHP and fuzzy multi-objective linear programming.
Abstract: Environmental sustainability of a supply chain depends on the purchasing strategy of the supply chain members. Most of the earlier models have focused on cost, quality, lead time, etc. issues but not given enough importance to carbon emission for supplier evaluation. Recently, there is a growing pressure on supply chain members for reducing the carbon emission of their supply chain. This study presents an integrated approach for selecting the appropriate supplier in the supply chain, addressing the carbon emission issue, using fuzzy-AHP and fuzzy multi-objective linear programming. Fuzzy AHP (FAHP) is applied first for analyzing the weights of the multiple factors. The considered factors are cost, quality rejection percentage, late delivery percentage, green house gas emission and demand. These weights of the multiple factors are used in fuzzy multi-objective linear programming for supplier selection and quota allocation. An illustration with a data set from a realistic situation is presented to demonstrate the effectiveness of the proposed model. The proposed approach can handle realistic situation when there is information vagueness related to inputs.
552 citations
TL;DR: The aim of the paper is to solve facility location problems using different solution approaches of fuzzy multi-attribute group decision-making, including a fuzzy model of group decision proposed by Blin and Yager's weighted goals method.
540 citations
Cites methods from "Applications of the extent analysis..."
...Chang [16] introduces a new approach for handling fuzzy AHP, with the use of triangular fuzzy numbers for pairwise comparison scale of fuzzy AHP, and the use of the extent analysis method for the synthetic extent values of the pairwise comparisons....
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References
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01 Jan 1985
TL;DR: Analytic Hierarchy Process (AHP) as mentioned in this paper is a systematic procedure for representing the elements of any problem hierarchically, which organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pairwise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy.
Abstract: This chapter provides an overview of Analytic Hierarchy Process (AHP), which is a systematic procedure for representing the elements of any problem hierarchically. It organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pair-wise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy. These judgments are then translated to numbers. The AHP includes procedures and principles used to synthesize the many judgments to derive priorities among criteria and subsequently for alternative solutions. It is useful to note that the numbers thus obtained are ratio scale estimates and correspond to so-called hard numbers. Problem solving is a process of setting priorities in steps. One step decides on the most important elements of a problem, another on how best to repair, replace, test, and evaluate the elements, and another on how to implement the solution and measure performance.
16,547 citations
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.
2,631 citations
"Applications of the extent analysis..." refers background or methods in this paper
...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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537 citations