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Erschienen in: Soft Computing 1/2019

25.07.2018 | Methodologies and Application

Fuzzy multi-granulation decision-theoretic rough sets based on fuzzy preference relation

verfasst von: Prasenjit Mandal, A. S. Ranadive

Erschienen in: Soft Computing | Ausgabe 1/2019

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Abstract

Preference analysis is a class of important issues in multi-criteria decision making. The rough set theory is a powerful approach to handle preference analysis. In order to solve the multi-criteria preference analysis, this work improves the fuzzy multi-granulation decision-theoretic rough set model with additive consistent fuzzy preference relation, and it is used to analyze data from different sources, i.e., multi-source (fuzzy) information system. More specifically, we introduce the models of optimistic and pessimistic fuzzy preference relation multi-granulation decision-theoretic rough sets. Then, their principal structure, basic properties and several kinds of uncertainty measure methods are investigated as well. An example is employed to illustrate the effectiveness of the proposed models, and comparisons are also offered according to different measures of our models and existing models.

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Literatur
Zurück zum Zitat Dubois D, Prade H (2011) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17:191–209CrossRefMATH Dubois D, Prade H (2011) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17:191–209CrossRefMATH
Zurück zum Zitat Herrera-Viedma E, Herrera F, Chiclana F, Luque M (2004) Some issues on consistency of fuzzy preference relations. Eur J Oper Res 154:98–109MathSciNetCrossRefMATH Herrera-Viedma E, Herrera F, Chiclana F, Luque M (2004) Some issues on consistency of fuzzy preference relations. Eur J Oper Res 154:98–109MathSciNetCrossRefMATH
Zurück zum Zitat Hu QH, Zhang L, Chen DG, Pedrycz W, Yu DR (2010b) Gaussian kernel based fuzzy rough sets: model, uncertainty measures and applications. Int J Approx Reason 51:453–471CrossRefMATH Hu QH, Zhang L, Chen DG, Pedrycz W, Yu DR (2010b) Gaussian kernel based fuzzy rough sets: model, uncertainty measures and applications. Int J Approx Reason 51:453–471CrossRefMATH
Zurück zum Zitat Lin G, Qian Y, Li J (2012) NMGRS: Neighborhood-based multi-granulation rough sets. Int J Approx Reason 53:1080–1093CrossRefMATH Lin G, Qian Y, Li J (2012) NMGRS: Neighborhood-based multi-granulation rough sets. Int J Approx Reason 53:1080–1093CrossRefMATH
Zurück zum Zitat Lin G, Liang J, Qian Y (2013) Multi-granulation rough sets: from partition to covering. Inf Sci 241:101–118CrossRefMATH Lin G, Liang J, Qian Y (2013) Multi-granulation rough sets: from partition to covering. Inf Sci 241:101–118CrossRefMATH
Zurück zum Zitat Lin G, Liang J, Qian Y, Lii J (2016) A fuzzy multi-granulation decision-theoretic approach to multi-source fuzzy information systems. Knowl-Based Syst 91:102–113CrossRef Lin G, Liang J, Qian Y, Lii J (2016) A fuzzy multi-granulation decision-theoretic approach to multi-source fuzzy information systems. Knowl-Based Syst 91:102–113CrossRef
Zurück zum Zitat Mandal P, Ranadive AS (2018a) Decision-theoretic rough sets under pythagorean fuzzy information. Int J Intell Syst 33(4):818–835CrossRef Mandal P, Ranadive AS (2018a) Decision-theoretic rough sets under pythagorean fuzzy information. Int J Intell Syst 33(4):818–835CrossRef
Zurück zum Zitat Pan W, She K, Wei P (2017) Multi-granulation fuzzy preference relation rough set for ordinal decision system. Fuzzy Sets Syst 312:87–108MathSciNetCrossRefMATH Pan W, She K, Wei P (2017) Multi-granulation fuzzy preference relation rough set for ordinal decision system. Fuzzy Sets Syst 312:87–108MathSciNetCrossRefMATH
Zurück zum Zitat Qian Y, Li S, Liang J, Shi Z, Wang F (2014a) Pessimistic rough set based decisions: a multi-granulation fusion strategy. Inf Sci 264:196–210CrossRefMATH Qian Y, Li S, Liang J, Shi Z, Wang F (2014a) Pessimistic rough set based decisions: a multi-granulation fusion strategy. Inf Sci 264:196–210CrossRefMATH
Zurück zum Zitat Qian Y, Zhang H, Sang Y, Liang J (2014b) Multi-granulation decision-theoretic rough sets. Int J Approx Reason 55:225–237CrossRefMATH Qian Y, Zhang H, Sang Y, Liang J (2014b) Multi-granulation decision-theoretic rough sets. Int J Approx Reason 55:225–237CrossRefMATH
Zurück zum Zitat Sun B, Ma W, Zhao H (2016) An approach to emergency decision making based on decision-theoretic rough set over two universes. Soft Comput 20(9):3617–3628CrossRef Sun B, Ma W, Zhao H (2016) An approach to emergency decision making based on decision-theoretic rough set over two universes. Soft Comput 20(9):3617–3628CrossRef
Zurück zum Zitat Yao YY (2003) Probabilistic approaches to rough sets. Expert Syst 20:287–297CrossRef Yao YY (2003) Probabilistic approaches to rough sets. Expert Syst 20:287–297CrossRef
Zurück zum Zitat Yao YY (2008) Probabilistic rough set approximations. Int J Approx Reason 49:255–271CrossRefMATH Yao YY (2008) Probabilistic rough set approximations. Int J Approx Reason 49:255–271CrossRefMATH
Zurück zum Zitat Yao YY, Wong SKM (1992) A decision theoretic framework for approximating concepts. Int J Man Mach Stud 37:793–809CrossRef Yao YY, Wong SKM (1992) A decision theoretic framework for approximating concepts. Int J Man Mach Stud 37:793–809CrossRef
Zurück zum Zitat Yao YY (2001) Information granulation and rough set approximation. Int J Intell Syst 16(1):87–104CrossRefMATH Yao YY (2001) Information granulation and rough set approximation. Int J Intell Syst 16(1):87–104CrossRefMATH
Metadaten
Titel
Fuzzy multi-granulation decision-theoretic rough sets based on fuzzy preference relation
verfasst von
Prasenjit Mandal
A. S. Ranadive
Publikationsdatum
25.07.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 1/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3411-7

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