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Published in: International Journal of Machine Learning and Cybernetics 3/2022

24-01-2021 | Original Article

q-ROF-SIR methods and their applications to multiple attribute decision making

Authors: Hua Zhu, Jianbin Zhao, Hua Li

Published in: International Journal of Machine Learning and Cybernetics | Issue 3/2022

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Abstract

q-rung orthopair fuzzy set (q-ROFS) is a useful tool to express uncertain information. With the parameter q increasing, q-ROFSs have broader space for describing uncertain information than intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs). This paper extends the superiority and inferiority ranking (SIR) methods to solve multiple attribute decision making (MADM) problems within the q-ROF environment, named q-ROF-SIR methods. In the q-ROF-SIR methods, the possibility degree (PD) for q-rung orthopair fuzzy numbers (q-ROFNs) is introduced to improve the preference intensity. Further, the q-ROF entropy weight (q-ROF-EW) method is constructed to determine the attribute weights suppose the weights of attribute are unknown. Finally, the effectiveness and applicability of the q-ROF-SIR methods are verified.

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Literature
2.
go back to reference Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96MATH Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96MATH
3.
go back to reference Yager RR (2014) Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst 22:958–965 Yager RR (2014) Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst 22:958–965
4.
go back to reference Yager RR (2017) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25:1222–1230 Yager RR (2017) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25:1222–1230
5.
go back to reference Liu P, Wang P (2017) Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int J Intell Syst 33:259–280 Liu P, Wang P (2017) Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int J Intell Syst 33:259–280
7.
go back to reference Liu P, Liu J (2018) Some q-rung orthopai fuzzy bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33:315–347 Liu P, Liu J (2018) Some q-rung orthopai fuzzy bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33:315–347
8.
go back to reference Liu P, Cheng S, Zhang Y (2019) An extended multi-criteria group decision-making promethee method based on probability multi-valued neutrosophic sets. Int J Fuzzy Syst 21:388–406 Liu P, Cheng S, Zhang Y (2019) An extended multi-criteria group decision-making promethee method based on probability multi-valued neutrosophic sets. Int J Fuzzy Syst 21:388–406
9.
go back to reference Pinar A, Boran FE (2020) A q-rung orthopair fuzzy multi-criteria group decision making method for supplier selection based on a novel distance measure. Int J Mach Learn Cybern 11:1749–1780 Pinar A, Boran FE (2020) A q-rung orthopair fuzzy multi-criteria group decision making method for supplier selection based on a novel distance measure. Int J Mach Learn Cybern 11:1749–1780
10.
go back to reference Wei G, Gao H, Wei Y (2018) Some q-rung orthopair fuzzy heronian mean operators in multiple attribute decision making. Int J Intell Syst 33:1426–1458 Wei G, Gao H, Wei Y (2018) Some q-rung orthopair fuzzy heronian mean operators in multiple attribute decision making. Int J Intell Syst 33:1426–1458
11.
go back to reference Xu X (2001) The SIR method: a superiority and inferiority ranking method for multiple criteria decision making. Eur J Oper Res 131:587–602MathSciNetMATH Xu X (2001) The SIR method: a superiority and inferiority ranking method for multiple criteria decision making. Eur J Oper Res 131:587–602MathSciNetMATH
12.
go back to reference Brans JP, Mareschal B, Vincke P (1984) PROMETHEE: a new family of outranking methods in multicriteria analysis. In: Brans JP (ed) Operational research ’84. North-Holland, Amsterdam Brans JP, Mareschal B, Vincke P (1984) PROMETHEE: a new family of outranking methods in multicriteria analysis. In: Brans JP (ed) Operational research ’84. North-Holland, Amsterdam
13.
go back to reference Brans JP, Vincke P (1985) The promethee method for multiple criteria decision-making. Manage Sci 31:647–656MATH Brans JP, Vincke P (1985) The promethee method for multiple criteria decision-making. Manage Sci 31:647–656MATH
14.
go back to reference Marzouk M (2008) A superiority and inferiority ranking model for contractor selection. Constr Innov 8:250–268 Marzouk M (2008) A superiority and inferiority ranking model for contractor selection. Constr Innov 8:250–268
15.
go back to reference Memariani A, Amini A, Alinezhad A (2009) Sensitivity analysis of simple additive weighting method (SAW): the results of change in the weight of one attribute on the final ranking of alternatives. J Ind Eng 4:13–18 Memariani A, Amini A, Alinezhad A (2009) Sensitivity analysis of simple additive weighting method (SAW): the results of change in the weight of one attribute on the final ranking of alternatives. J Ind Eng 4:13–18
16.
go back to reference Ma ZJ, Zhang N, Ying D (2014) A novel SIR method for multiple attributes group decision making problem under hesitant fuzzy environment. J Intell Fuzzy Syst 26:2119–2130MathSciNetMATH Ma ZJ, Zhang N, Ying D (2014) A novel SIR method for multiple attributes group decision making problem under hesitant fuzzy environment. J Intell Fuzzy Syst 26:2119–2130MathSciNetMATH
17.
go back to reference Peng X, Yong Y (2015) Some results for pythagorean fuzzy sets. Int J Intell Syst 30:1133–1160 Peng X, Yong Y (2015) Some results for pythagorean fuzzy sets. Int J Intell Syst 30:1133–1160
18.
go back to reference Papathanasiou J, Ploskas N (2018) Multiple criteria decision aid methods, examples and python implementations. Springer International Publishing AG, part of Springer Nature. Chapter 4: 91–108 Papathanasiou J, Ploskas N (2018) Multiple criteria decision aid methods, examples and python implementations. Springer International Publishing AG, part of Springer Nature. Chapter 4: 91–108
19.
go back to reference Brans JP, Mareschal B (1992) Promethee-V-MCDM problems with segmentation constraints. INFOR 30:85–96MATH Brans JP, Mareschal B (1992) Promethee-V-MCDM problems with segmentation constraints. INFOR 30:85–96MATH
20.
go back to reference Brans JP, Mareschal B (1995) The promethee vi procedure: how to differentiate hard from soft multicriteria problems. J Decis Syst 4:213–223 Brans JP, Mareschal B (1995) The promethee vi procedure: how to differentiate hard from soft multicriteria problems. J Decis Syst 4:213–223
21.
go back to reference Brans JP, Mareschal B (2005) Promethee methods, multiple criteria decision analysis: state of the art surveys. Springer, New YorkMATH Brans JP, Mareschal B (2005) Promethee methods, multiple criteria decision analysis: state of the art surveys. Springer, New YorkMATH
22.
go back to reference Dias LC, Costa JP, Clímaco JN (1998) A parallel implementation of the promethee method. Eur J Oper Res 104:521–531MATH Dias LC, Costa JP, Clímaco JN (1998) A parallel implementation of the promethee method. Eur J Oper Res 104:521–531MATH
23.
go back to reference Chen TY (2014) A PROMETHEE-based outranking method for multiple criteria decision analysis with interval type-2 fuzzy sets. Soft Comput 18:923–940MATH Chen TY (2014) A PROMETHEE-based outranking method for multiple criteria decision analysis with interval type-2 fuzzy sets. Soft Comput 18:923–940MATH
24.
go back to reference Chen TY (2015) An interval type-2 fuzzy PROMETHEE method using a likelihood-based outranking comparison approach. Inf Fusion 25:105–120 Chen TY (2015) An interval type-2 fuzzy PROMETHEE method using a likelihood-based outranking comparison approach. Inf Fusion 25:105–120
25.
go back to reference Li WX, Li BY (2010) An extension of the PROMETHEE II method based on generalized fuzzy numbers. Expert Syst Appl 37:5314–5319 Li WX, Li BY (2010) An extension of the PROMETHEE II method based on generalized fuzzy numbers. Expert Syst Appl 37:5314–5319
26.
go back to reference Liao HC, Xu ZS (2014) Multi-criteria decision making with intuitionistic fuzzy promethee. J Intell Fuzzy Syst 27:1703–1717MathSciNetMATH Liao HC, Xu ZS (2014) Multi-criteria decision making with intuitionistic fuzzy promethee. J Intell Fuzzy Syst 27:1703–1717MathSciNetMATH
27.
go back to reference Yilmaz B, Daǧdeviren M (2011) A combined approach for equipment selection: F-promethee method and zero-one goal programming. Expert Syst Appl 38:11641–11650 Yilmaz B, Daǧdeviren M (2011) A combined approach for equipment selection: F-promethee method and zero-one goal programming. Expert Syst Appl 38:11641–11650
28.
go back to reference Ziemba P (2018) Neat F-PROMETHEE—a new fuzzy multiple criteria decision making method based on the adjustment of mapping trapezoidal fuzzy numbers. Expert Syst Appl 110:363–380 Ziemba P (2018) Neat F-PROMETHEE—a new fuzzy multiple criteria decision making method based on the adjustment of mapping trapezoidal fuzzy numbers. Expert Syst Appl 110:363–380
29.
go back to reference Zhao J, Zhu H, Li H (2019) 2-Dimension linguistic PROMETHEE methods for multiple attribute decision making. Expert Syst Appl 127:97–108 Zhao J, Zhu H, Li H (2019) 2-Dimension linguistic PROMETHEE methods for multiple attribute decision making. Expert Syst Appl 127:97–108
30.
go back to reference Zhu H, Zhao J, Xu Y (2016) 2-Dimension linguistic computational model with 2-tuples for multi-attribute group decision making. Knowl Based Syst 103:132–142 Zhu H, Zhao J, Xu Y (2016) 2-Dimension linguistic computational model with 2-tuples for multi-attribute group decision making. Knowl Based Syst 103:132–142
31.
go back to reference De Luca A, Termini S (1972) A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf Control 20:301–312MathSciNetMATH De Luca A, Termini S (1972) A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf Control 20:301–312MathSciNetMATH
32.
go back to reference Yager RR (1979) On the measure of fuzziness and negation part I: membership in the unit interval. Int J Gen Syst 5:221–229MATH Yager RR (1979) On the measure of fuzziness and negation part I: membership in the unit interval. Int J Gen Syst 5:221–229MATH
34.
go back to reference Liu X (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52:305–318MathSciNetMATH Liu X (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52:305–318MathSciNetMATH
36.
go back to reference Burillo P, Bustince H (1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst 78:305–316MathSciNetMATH Burillo P, Bustince H (1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst 78:305–316MathSciNetMATH
37.
38.
go back to reference Ioannis K, George D (2006) Inner product based entropy in the intuitionistic fuzzy setting. Int J Uncertain Fuzziness Knowl Based Syst 14:351–366MathSciNetMATH Ioannis K, George D (2006) Inner product based entropy in the intuitionistic fuzzy setting. Int J Uncertain Fuzziness Knowl Based Syst 14:351–366MathSciNetMATH
39.
go back to reference Huang G (2007) A new fuzzy entropy for intuitionistic fuzzy sets. In: International conference on fuzzy systems & knowledge discovery Huang G (2007) A new fuzzy entropy for intuitionistic fuzzy sets. In: International conference on fuzzy systems & knowledge discovery
40.
go back to reference Xia M, Xu Z (2012) Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13:31–47 Xia M, Xu Z (2012) Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13:31–47
41.
go back to reference Guo K, Song Q (2014) On the entropy for Atanassovs intuitionistic fuzzy sets: an interpretation from the perspective of amount of knowledge. Appl Soft Comput 24:328–340 Guo K, Song Q (2014) On the entropy for Atanassovs intuitionistic fuzzy sets: an interpretation from the perspective of amount of knowledge. Appl Soft Comput 24:328–340
42.
go back to reference Hussain Z, Yang M-S (2018) Entropy for hesitant fuzzy sets based on Hausdorff metric with construction of hesitant fuzzy topsis. Int J Fuzzy Syst 20:2517–2533MathSciNet Hussain Z, Yang M-S (2018) Entropy for hesitant fuzzy sets based on Hausdorff metric with construction of hesitant fuzzy topsis. Int J Fuzzy Syst 20:2517–2533MathSciNet
43.
go back to reference Yang M-S, Hussain Z (2018) Fuzzy entropy for pythagorean fuzzy sets with application to multicriterion decision making. Complexity 2018:1–14MATH Yang M-S, Hussain Z (2018) Fuzzy entropy for pythagorean fuzzy sets with application to multicriterion decision making. Complexity 2018:1–14MATH
44.
go back to reference Xue W, Xu Z, Zhang X, Tian X (2018) Pythagorean fuzzy LINMAP method based on the entropy theory for railway project investment decision making. Int J Intell Syst 33:93–125 Xue W, Xu Z, Zhang X, Tian X (2018) Pythagorean fuzzy LINMAP method based on the entropy theory for railway project investment decision making. Int J Intell Syst 33:93–125
45.
go back to reference Xu Z, Da L (2003) Possibility degree method for ranking interval numbers and its application. J Syst Eng 18:67–70 Xu Z, Da L (2003) Possibility degree method for ranking interval numbers and its application. J Syst Eng 18:67–70
46.
go back to reference Wei C, Tang X (2010) Possibility degree method for ranking intuitionistic fuzzy numbers. In: 3rd IEEE/WIC/ACM international conference on web intelligence and intelligent agent technology (WI-IAT’10), pp 142–145 Wei C, Tang X (2010) Possibility degree method for ranking intuitionistic fuzzy numbers. In: 3rd IEEE/WIC/ACM international conference on web intelligence and intelligent agent technology (WI-IAT’10), pp 142–145
47.
go back to reference Wan S, Dong J (2014) A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making. J Comput Syst Sci 80:237–256MathSciNetMATH Wan S, Dong J (2014) A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making. J Comput Syst Sci 80:237–256MathSciNetMATH
48.
go back to reference Gao F (2013) Possibility degree and comprehensive priority of interval numbers. Syst Eng Theory Pract 33:2033–2040 Gao F (2013) Possibility degree and comprehensive priority of interval numbers. Syst Eng Theory Pract 33:2033–2040
49.
go back to reference Dammak F, Baccour L, Alimi A (2016) An exhaustive study of possibility measures of interval-valued intuitionistic fuzzy sets and application to multicriteria decision making. Adv Fuzzy Syst 10:1–10MathSciNetMATH Dammak F, Baccour L, Alimi A (2016) An exhaustive study of possibility measures of interval-valued intuitionistic fuzzy sets and application to multicriteria decision making. Adv Fuzzy Syst 10:1–10MathSciNetMATH
50.
go back to reference Zhang X, Xu Z (2014) Extension of topsis to multiple criteria decision making with pythagorean fuzzy sets. Int J Intell Syst 29:1061–1078MathSciNet Zhang X, Xu Z (2014) Extension of topsis to multiple criteria decision making with pythagorean fuzzy sets. Int J Intell Syst 29:1061–1078MathSciNet
Metadata
Title
q-ROF-SIR methods and their applications to multiple attribute decision making
Authors
Hua Zhu
Jianbin Zhao
Hua Li
Publication date
24-01-2021
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 3/2022
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-020-01267-4

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