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Artificial Intelligence Review
Published in: Artificial Intelligence Review 2/2021

28-07-2020

PROMETHEE II method based on variable precision fuzzy rough sets with fuzzy neighborhoods

Authors: Haibo Jiang, Jianming Zhan, Degang Chen

Published in: Artificial Intelligence Review | Issue 2/2021

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Abstract

The model of covering-based fuzzy rough sets (CFRSs) can be regarded as a hybrid one by combining covering-based rough sets with fuzzy sets. In this paper, based on fuzzy neighborhoods, we propose two types of covering-based variable precision fuzzy rough sets (CVPFRSs) via fuzzy logical operators, i.e., type-I CVPFRSs and type-II CVPFRSs. Then, several basic properties of the two types of CVPFRSs are discussed. In addition, by virtue of the idea of PROMETHEE II methods, we construct a novel method to multi-attribute decision-making (MADM) in the context of medical diagnosis based on the proposed rough approximation operators. Finally, a test example for illustrating the proposed method is given. Meanwhile, a comparative analysis and an experimental evaluation are further discussed to interpret and evaluate the effectiveness and superiority of the proposed method. The proposed rough set model not only extends the theory of CFRSs, but also provides a new perspective for MADM with fuzzy evaluation information.
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Literature
D’eer L, Cornelis C (2018) A comprehensive study of fuzzy covering-based rough set models: definitions, properties and interrelationships. Fuzzy Sets Syst 336:1–26MathSciNetMATHCrossRef
Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17:191–209MATHCrossRef
Feng T, Mi JS (2016) Variable precision multigranulation decision-theoretic fuzzy rough sets. Knowl-Based Syst 91:93–101CrossRef
Ghorabaee MK, Zavadskas EK, Olfat L, Turskis Z (2015) Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26(3):435–451CrossRef
Ghorabaee MK, Zavadskas EK, Amiri M, Turskis Z (2016) Extended EDAS method for fuzzy multi-criteria decision-making: an application to supplier selection. Int J Comput Commun Control 11(3):358–371CrossRef
Goumas M, Lygerou V (2000) An extension of the PROMETHEE method for decision making in fuzzy environment: ranking of alternative energy exploitation projects. Eur J Oper Res 123:606–613MATHCrossRef
Harsanyi JC (1955) Cardinal welfare, individualistic ethics and interpersonal comparisons of utility. J Polit Econ 63:309–321CrossRef
Huang B, Guo CX, Li HX, Feng GF, Zhou XZ (2016) An intuitionistic fuzzy graded covering rough set. Knowl-Based Syst 107:155–178CrossRef
Huang B, Li HX, Feng GF, Guo CX (2020) Intuitionistic fuzzy \(\beta \)-covering-based rough sets. Artif Intell Rev 53:2841–2873CrossRef
Hwang CL, Yoon K (1981) Multiple attributes decision making methods and applications. Springer, BerlinMATHCrossRef
Jiang HB, Zhan JM, Chen DG (2019) Covering based variable precision (\({\cal{I}}\), \({\cal{T}}\))-fuzzy rough sets with applications to multi-attribute decision-making. IEEE Trans Fuzzy Syst 27(8):1558–1572CrossRef
Kacprzak D (2020) An extended TOPSIS method based on ordered fuzzy numbers for group decision making. Artif Intell Rev 53:2099–2129CrossRef
Li TJ, Leung Y, Zhang WX (2008) Generalized fuzzy rough approximation operators based on fuzzy covering. Int J Approx Reason 48:836–856MathSciNetMATHCrossRef
Liang DC, Liu D (2014) Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inf Sci 276:186–203CrossRef
Liang DC, Xu ZS (2017) The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets. Appl Soft Comput 60:167–179CrossRef
Liu D, Liang DC (2017) Three-way decisions in ordered decision system. Knowl-Based Syst 137:182–195CrossRef
Mardani A, Jusoh A, Zavadskas EK (2015) Fuzzy multiple criteria decision-making techniques and applications—two decades review from 1994 to 2014. Expert Syst Appl 42:4126–4148CrossRef
Opricovic S, Tzeng G-H (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156:445–455MATHCrossRef
Peng XD, Selvachandran G (2019) Pythagorean fuzzy set: state of the art and future directions. Artif Intell Rev 52:1873–1927CrossRef
Pomykala JA (1987) Approximation operations in approximation spaces. Bull Pol Acad Sci Math 35:653–662MathSciNetMATH
Song JJ, Tsang ECC, Chen DG, Yang XB (2017) Minimal decision cost reduct in fuzzy decision-theoretic rough set model. Knowl-Based Syst 126(115):104–114CrossRef
Sun BZ, Ma WM, Chen XT, Li XN (2018a) Heterogeneous multigranulation fuzzy rough set-based multiple attribute group decision making with heterogeneous preference information. Comput Ind Eng 122:24–38CrossRef
Sun BZ, Ma WM, Li BJ, Li XN (2018b) Three-way decisions approach to multiple attribute group decision making with linguistic information-based decision-theoretic rough fuzzy set. Int J Approx Reason 93:424–442MathSciNetMATHCrossRef
Wang CZ, Huang Y, Shao MW, Fan XD (2019) Fuzzy rough set-based attribute reduction using distance measures. Knowl-Based Syst 164:205–212CrossRef
Wu P, Wu Q, Zhou LG, Chen HY, Zhou H (2019a) A consensus model for group decision making under trapezoidal fuzzy numbers environment. Neural Comput Appl 31:377–394CrossRef
Wu P, Zhou LG, Chen HY, Tao ZF (2019b) Additive consistency of hesitant fuzzy linguistic preference relation with a new expansion principle for hesitant fuzzy linguistic term sets. IEEE Trans Fuzzy Syst 27(4):716–730CrossRef
Wu P, Zhu JM, Zhou LG, Chen HY (2019c) Local feedback mechanism based on consistency-derived for consensus building in group decision making with hesitant fuzzy linguistic preference relations. Comput Ind Eng 137:106001CrossRef
Wu P, Liu JP, Zhou LG, Chen HY (2020a) Algorithm for improving additive consistency of linguistic preference relations with an integer optimization model. Appl Soft Comput 86:105955CrossRef
Wu P, Zhou LG, Chen HY, Tao ZF (2020b) Multi-stage optimization model for hesitant qualitative decision making with hesitant fuzzy linguistic preference relations. Appl Intell 50:222–240CrossRef
Xu ZS, Zhao N (2016) Information fusion for intuitionistic fuzzy decision making: an overview. Inf Fusion 28:10–23CrossRef
Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18:183–190MATHCrossRef
Yager RR (2014) Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst 22:958–965CrossRef
Yang B, Hu BQ (2018) Communication between fuzzy information systems using fuzzy covering-based rough sets. Int J Approx Reason 103:414–436MathSciNetMATHCrossRef
Yao YY (2010) Three-way decision with probabilistic rough set models. Inf Sci 180(3):341–353CrossRef
Yao YQ, Mi JS, Li ZJ (2014) A novel variable (\(\theta \), \(\sigma \))-fuzzy rough set model based on fuzzy granules. Fuzzy Sets Syst 236:58–72MathSciNetMATHCrossRef
Yeung DS, Chen DG, Tsang ECC, Lee JWT, Wang XZ (2005) On the generalization of fuzzy rough sets. IEEE Trans Fuzzy Syst 13:343–361CrossRef
Zhan JM, Xu WH (2020) Two types of coverings based multigranulation rough fuzzy sets and applications to decision making. Artif Intell Rev 53:167–198CrossRef
Zhan JM, Sun B, Alcantud JCR (2019) Covering based multigranulation \((I, T)\)-fuzzy rough set models and applications in multi-attribute group decision-making. Inf Sci 476:290–318MathSciNetMATHCrossRef
Zhang XL, Xu ZS (2014) Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets. Int J Intell Syst 29(12):1061–1078CrossRef
Zhang C, Li DY, Ren R (2016) Pythagorean fuzzy multigranulation rough set over two universes and its applications in merger and acquisition. Int J Intell Syst 31(9):921–943CrossRef
Zhao SY, Tsang ECC, Chen DG (2009) The model of fuzzy variable precision rough sets. IEEE Trans Fuzzy Syst 17:451–467CrossRef
Zhu W, Wang FY (2007) On three types of covering rough sets. IEEE Trans Knowl Data Eng 19:1131–1144CrossRef
Metadata
Title
PROMETHEE II method based on variable precision fuzzy rough sets with fuzzy neighborhoods
Authors
Haibo Jiang
Jianming Zhan
Degang Chen
Publication date
28-07-2020
Publisher
Springer Netherlands
Published in
Artificial Intelligence Review / Issue 2/2021
Print ISSN: 0269-2821
Electronic ISSN: 1573-7462
DOI
https://doi.org/10.1007/s10462-020-09878-7

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