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Fuzzy rough set with inconsistent bipolarity information in two universes and its applications

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Abstract

In the paper (Han et al. in IEEE Trans Fuzzy Syst 23:2358–2370, 2015), we proposed the bipolar-valued rough fuzzy set in one universe, which is an inevitable improvement by introducing inconsistent bipolarity to rough set. However, the bipolar-valued rough fuzzy set in one universe still has the limitations to complex practical problems. This motives us to propose the generalized concept of bipolar-valued fuzzy rough set in two universes, in which, inconsistent bipolarity is introduced into the crisp approximation space for the first time, and furthermore, two universes are considered to reflect the interrelations among different sources’ inconsistent bipolarity information. Comparing with other existing fuzzy rough set models, in syntax, the new one generalizes the existing ones. And most importantly, in semantics, the new one firstly considering the inconsistent bipolarity information, which is important in practice. Based on the new concept, two methods to the decision-making problems with inconsistent fuzzy bipolarity information are proposed, together with their applications. The comparison study with other existing rough set related methods highlights the necessity of our study, which provides a new inconsistent fuzzy bipolarity perspective to rough set theory and related applications.

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References

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  Google Scholar 

  • Akram M (2013) Bipolar-valued fuzzy graphs with applications. Knowl Based Syst 39:1–8

    Article  Google Scholar 

  • Bustince H, Barrenechea E, Pagola M et al (2016) A historical account of types of fuzzy sets and their relationships. IEEE Trans Fuzzy Syst 24:179–194

    Article  Google Scholar 

  • Cacioppo JT, Gardner WL, Berntson CG (1997) Beyond bipolar conceptualizations and measures-the case of attitudes and evaluative space. Pers Soc Psychol Rev 1:3–25

    Article  Google Scholar 

  • Deschrijver G, Kerre E (2003) On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst 133:227–235

    Article  MathSciNet  Google Scholar 

  • Dubois D, Gottwaldm S, Hajek P et al (2005) Terminological difficulties in fuzzy set theory-the case of intuitionistic fuzzy sets. Fuzzy Sets Syst 156:485–491

    Article  MathSciNet  Google Scholar 

  • Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17:191–208

    Article  Google Scholar 

  • Guo ZL, Yang HL, Wang J (2015) Rough set over dual-universes in intuitionistic fuzzy approximation space and its application. J Intell Fuzzy Syst 28:169–178

    Article  MathSciNet  Google Scholar 

  • Han Y, Chen S (2011) New roughness measures of the interval-valued fuzzy sets. Expert Syst Appl 38:2849–2856

    Article  Google Scholar 

  • Han Y, Lim CC, Chen S (2017) Triple \(I\) fuzzy modus tollness method with inconsistent bipolarity information. J Intell Fuzzy Syst 32:4299–4309

    Article  Google Scholar 

  • Han Y, Lu ZY, Du ZG et al (2018) A YinYang bipolar fuzzy cognitive TOPSIS method to bipolar disorder diagnosis. Comput Methods Programs Biomed 158:1–10

    Article  Google Scholar 

  • Han Y, Lu ZY, Luo Q et al (2019) A hybrid inconsistent sustainable chemical industry evaluation method. J Ind Manag Optim 15:1225–1239

    MathSciNet  MATH  Google Scholar 

  • Han Y, Shi P, Chen S (2015) Bipolar-valued rough fuzzy set and its applications to decision information system. IEEE Trans Fuzzy Syst 23:2358–2370

    Article  Google Scholar 

  • Montero J, Bustince H, Franco C et al (2016) Paired structures in knowledge representation. Knowl Based Syst 100:50–58

    Article  Google Scholar 

  • Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341–356

    Article  Google Scholar 

  • Reich JW, Zautra AJ, Potter PT (2001) Cognitive structure and independence of positive and negative. J Soc Clin Psychol 20:99–115

    Article  Google Scholar 

  • Smarandache F(2005) A unifying field in logics, neutrosophic logic, neutrosophy, neutrosphic set, neutrosophic probability and statistics on the relationship between some extensions of fuzzy set theory. American Research Press

  • Sun BZ, Ma WM, Chen XT (2015) Fuzzy rough set on probabilistic approximation space over two universes and its application to emergency decision making. Expert Syst 32:507–521

    Article  Google Scholar 

  • Sun BZ, Ma WM, Zhao HY (2016) An approach to emergency decision making based on decision-theoretic rough set over two universes. Soft Comput 20:3617–3628

    Article  Google Scholar 

  • Tre GD, Zadrony S, Bronselaer AJ (2010) Handling bipolarity in elementary queries to possibilistic databases. IEEE Trans Fuzzy Syst 18:599–612

    Article  Google Scholar 

  • Wu WZ, Zhang WX (2004) Constructive and axiomatic approaches of fuzzy approximation operators. Inf Sci 159:233–254

    Article  MathSciNet  Google Scholar 

  • Yang HL, Li SG, Guo ZL, Ma C (2012) Transformation of bipolar fuzzy rough set models. Knowl Based Syst 27:60–68

    Article  Google Scholar 

  • Yang YH, Wang FX (2011) Variable precision rough set model over two universes and its properties. Soft Comput 15:557–567

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inform Control 8:338–353

    Article  Google Scholar 

  • Zadeh LA (1973) Outline of a new approach to the analysis of complex systems and decision process. IEEE Trans Syst Man Cybern 1:28–44

  • Zhang WR. (1994) Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis. In: Proceedings of IEEE Conf., pp 305–309

  • Zemankova AM, Ahmad K (2015) Averaging operators in fuzzy classification systems. Fuzzy Sets Syst 270:53–73

    Article  MathSciNet  Google Scholar 

  • Sun BZ, Ma WM, Chen XT, Zhang X (2019) Multigranulation vague rough set over two universes and its application to group decision making. Soft Comput 23:8927–8956

    Article  Google Scholar 

Download references

Funding

This work was supported in part by the National Natural Science Foundation of China [Grant Number 62076136]

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Authors and Affiliations

  1. B-DAT & CICAEET, School of Automation, Nanjing University of Information Science & Technology, Nanjing, 210044, China

    Ying Han, Sheng Chen & Xiaoning Shen

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  1. Ying Han
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  2. Sheng Chen
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  3. Xiaoning Shen
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Correspondence to Ying Han.

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Han, Y., Chen, S. & Shen, X. Fuzzy rough set with inconsistent bipolarity information in two universes and its applications. Soft Comput 26, 9775–9784 (2022). https://doi.org/10.1007/s00500-022-07356-6

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