On consistency and ranking of alternatives in fuzzy AHP

By L. C. Leung, D. Cao. European Journal of Operational Research, 2000

536 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f7b57a9218587f2f118da966bcd2399e283c43fd

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In Control and Systems Engineering

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

On the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process (2007, methodology): “There have been attempts to apply fuzzy concepts to the social sciences, politics and to decision making [see 9 reading list [1–29] in the references at the end of the paper, and there are many more references not cited here].”
Fuzzy Multicriteria Decision-Making: A Literature Review (2015, unknown): “…et al. [146] 2004 Tzeng et al. [147] 2007 Deng [148] 1999 Kahraman et al. [149] 2003 Cheng [150] 1997 Zhu and Chow [151] 1997 Leung and Cao [152] 2000 Kulak and Kahraman [153] 2005 Lee et al. [154] 2008 Kwong and Bai [155] 2002 Kwong and Bai [156] 2003 Chen and Tzeng [157] 2004 Cheng et…”
A two-stage logarithmic goal programming method for generating weights from interval comparison matrices (2005, methodology): “Leung and Cao[24] proposed a fuzzy consistency definition by considering a tolerance deviation and determined fuzzy local and global weights using the extension principle.”
A GP-AHP method for solving group decision-making fuzzy AHP problems (2002, methodology): “Over the last two decades, numerous methods [2–9,11,12,15–22] have been developed to generate the priority vector by comparing all pairs of criteria and decision alternatives under a fuzzy environment.”
Improved AHP Method and Its Application in Risk Identification (2013, methodology): “Leung and Cao (2000) rank alternatives by application of a maximum–minimum set ranking method.”
Evaluation of hazardous waste transportation firms by using a two step fuzzy-AHP and TOPSIS methodology (2009, unknown): “There are many fuzzy-AHP methods proposed by various authors (Buckley, 1985; Chang, 1996; Cheng, 1997; Deng, 1999; Leung & Cao, 2000; Mikhailov, 2004; Van Laarhoven & Pedrycz, 1983).”
Modeling uncertainty in multi-criteria decision analysis (2012, background): “Leung and Cao [89] define a different fuzzy version of consistency based on specifying a tolerance level for inconsistent ratio judgements, and maximize membership values subject to constraints on this consistency.”
Intuitionistic Fuzzy Analytic Hierarchy Process (2014, background): “subjectivity of the qualitative evaluation criteria or the variations of individual judgments in group decision making [4].”
Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP (2008, background): “Thus, Leung and Cao [37] proposed setting deviation tolerances when performing fuzzy consistency analysis and determining whether a fuzzy positive reciprocal matrix is consistent based on R Á I 0.1 [39].”
Environmental decision-making under uncertainty using intuitionistic fuzzy analytic hierarchy process (IF-AHP) (2009, background): “Fuzzy sets Kreng and Wu (2007), Arslan and Khisty (2006), Tesfamariam and Sadiq (2006), Bozbura and Beskese (2006), Yu (2002), Leung and Cao (2000), Deng (1999), Zhu et al. (1999), Weck et al. (1997), Levary and Wan (1998), Chang (1996), Buckley (1985) and van Laarhoven and Pedrycz (1983)…”
Fuzzy group decision-making for facility location selection (2003, background): “Leung and Cao [35] propose a fuzzy consistency definition with consideration of a tolerance deviation.”
Fuzzy performance evaluation in Turkish Banking Sector using Analytic Hierarchy Process and TOPSIS (2009, background): “Leung and Cao (2000) proposed a fuzzy coherence definition that considered tolerance deviations for the alternatives in the fuzzy AHP.”
Multi-attribute comparison of catering service companies using fuzzy AHP: The case of Turkey (2004, background): “Leung and Cao (2000) propose a fuzzy consistency definition with consideration of a tolerance deviation.”
Fuzzy group decision making for selection among computer integrated manufacturing systems (2003, background): “Leung and Cao [45] propose a fuzzy consistency definition with consideration of a tolerance deviation.”