2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) 2015
DOI: 10.1109/fuzz-ieee.2015.7337862
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Fuzzy rule based approach with z-numbers for selection of alternatives using TOPSIS

Abstract: The lack of ability to handle vagueness in the decision making practice has been main drawback of the conventional TOPSIS. Thus, type 1, type 2 and Z fuzzy sets have been applied with conventional TOPSIS to allow experts to incorporate imperfect information in analysis. However the existing methods do not take into account the influence degree of decision makers. Hence, a novel modification of TOPSIS method to handle vagueness and imperfect information in decision making practice is presented. The concept of Z… Show more

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Cited by 26 publications
(16 citation statements)
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References 16 publications
(23 reference statements)
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“…Next using Eq. (12), and according to the first decision maker as detailed in Tables 8 and 9, the antecedent matrix for the cost system is:…”
Section: Simulation Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…Next using Eq. (12), and according to the first decision maker as detailed in Tables 8 and 9, the antecedent matrix for the cost system is:…”
Section: Simulation Resultsmentioning
confidence: 99%
“…(1, 3, 3, 5) Fair (F) 4 (3, 5, 5, 7) Medium Good (MG) 5 (5,7,7,9) Good (G) 6 (7, 9, 9, 10) Very Good (VG) 7 (9, 10, 10, 10) The following are the procedures involved in implementing a fuzzy network with merging rule bases to TOPSIS, based on Type 1-fuzzy set. Steps 1-6 are adopted from [16] and [12], while steps 7-10 are introduced as part of the proposed method in this paper.…”
Section: A Type-1 Fuzzy Set Implementationmentioning
confidence: 99%
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“…TOPSIS method is used to represent the importance of criteria, rating of the alternative and is based on comparing the expected cost criteria of each alternative against the expected benefit criteria to see whether the benefits outweigh the costs and for how much. Recent researches on TOPSIS with multiple fuzzy rule bases (MFS-TOPSIS) [19] and Znumbers fuzzy rule based approach (Z-FRBS TOPSIS) [18] introduced the influence degree of each decisionmaker in case one decision-maker has more knowledge of the domain and can obtain greater degree of importance comparing with others. In this paper we consider some ideas of TOPSISs first steps in order to construct a decision matrix and to show the importance of criteria time-resource trade-off and alternative mode preference, as well as Z-number reliability of decision-maker.…”
Section: Mode Assignment Problemmentioning
confidence: 99%
“…Azadeh et al[54] use Z-number with the AHP method. Yaakob and Gegov[55] Z-number uses the TOPSIS method. Salari et al[56] elaborate a novel earned value management model using Z-number.…”
mentioning
confidence: 99%