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Knowledge reasoning approach with linguistic-valued intuitionistic fuzzy credibility

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Abstract

Linguistic term evaluations are always collected from two opposite sides at the same time in an assessment system. To process the linguistic knowledge, we propose an approximate reasoning approach with linguistic-valued intuitionistic fuzzy credibility based on linguistic-valued intuitionistic fuzzy lattice implication algebra and apply it to the assessment system. Firstly, we give a knowledge representation model with linguistic-valued intuitionistic fuzzy credibility. Based on the representation model, the forms and patterns of linguistic intuitionistic fuzzy modus ponens (LI-FMP) and linguistic intuitionistic fuzzy modus tollens (LI-FMT) are defined. Then there are three main phases of the knowledge reasoning with linguistic-valued intuitionistic fuzzy credibility. For a single rule, the similarity-based algorithms for LI-FMP and LI-FMT are given to get the sub-conclusion and the properties of similarity-based algorithms are discussed. For the multi-rule, we propose a rule aggregation operator to get the final conclusion by combining all the sub-conclusions. Some incomparable results are further processed if it is necessary. An intuitionistic linguistic-real valuation function is defined implying a linguistic intuitionistic fuzzy distance which is proved to be a positive valuation function. The ranking method of the incomparable results utilizes the linguistic intuitionistic distance. Lastly, the example about individual credit risk assessment shows how the proposed approach work and the contrast example illustrates that the proposed approach is rational and applied.

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Abbreviations

LV-IFP:

Linguistic-valued intuitionistic fuzzy pair

LV-IFC:

Linguistic-valued intuitionistic fuzzy credibility

LV-IFL:

Linguistic-valued intuitionistic fuzzy lattice

LI-FMP:

Linguistic intuitionistic fuzzy modus ponens

LI-FMT:

Linguistic intuitionistic fuzzy modus tollens

FMP:

Fuzzy modus ponens

FMT:

Fuzzy modus tollens

References

  1. Jochen K, Alexandra S, Gerhard A (2013) Consumer credit risk: individual probability estimates using machine learning. Expert Syst Appl 40(13):5125–5131

    Article  Google Scholar 

  2. Ala’raj M, Abbod MF (2016) A new hybrid ensemble credit scoring model based on classifiers consensus system approach. Expert Syst Appl 64:36–55

    Article  Google Scholar 

  3. Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  Google Scholar 

  4. Zadeh LA (1975) Introduction to theory of fuzzy sets. Int J Gen Syst 2(2):120–121

    Article  Google Scholar 

  5. Zadeh LA (1996) Fuzzy logic equals computing with words. IEEE Trans Fuzzy Syst 4(2):103–111

    Article  Google Scholar 

  6. Mokarram M, Khoei A, Hadidi K (2015) CMOS fuzzy logic controller supporting fractional polynomial membership functions. Fuzzy Sets Syst 263:112–126

    Article  MathSciNet  Google Scholar 

  7. 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(8):4126–4148

    Article  Google Scholar 

  8. Zhang ZM (2018) Trapezoidal interval type-2 fuzzy aggregation operators and their application to multiple attribute group decision making. Neural Comput Appl 29(4):1039–1054

    Article  Google Scholar 

  9. Chamorro-Martinez J, Sanchez D, Soto-Hidalgo JM et al (2014) A discussion on fuzzy cardinality and quantification. Some applications in image processing. Fuzzy Sets Syst 257:85–101

    Article  MathSciNet  Google Scholar 

  10. Zhang HY, Yang SY (2017) Features selection and approximate reasoning of large-scale set-valued decision tables based on alpha-dominance-based quantitative rough sets. Inf Sci 378:328–347

    Article  Google Scholar 

  11.  Liu J, Ruan D, Carchon R (2002) Synthesis and evaluation analysis of the indicator information in nuclear safeguards applications by computing with words. Int J Appl Math Comput Sci 12(3):229–462

    Google Scholar 

  12. Xu Y (1993) Lattice implication algebra. J Southwest Jiaotong Univ 28:20–27

    MATH  Google Scholar 

  13. Xu Y, Ruan D, Qin KY, Liu J (2003) Lattice-valued logic: an alternative approach to treat fuzziness and incomparability. Springer, Heidelberg

    Book  Google Scholar 

  14. Liu X, Wang Y, Li XN et al (2017) A linguistic-valued approximate reasoning approach for financial decision making. Int J Comput Intell Syst 10(1):312–319

    Article  Google Scholar 

  15. Zhu H, Xu Y (2018) On derivations of linguistic truth-valued lattice implication algebras. Int J Mach Learn Cybern 9(4):611–620

    Article  Google Scholar 

  16. Zou L, Zhang YX, Liu X (2015) Linguistic-valued approximate reasoning with lattice ordered linguistic-valued credibility. Int J Comput Intell Syst 8(1):53–61

    Article  Google Scholar 

  17. Atanassov K (1983) “Intuitionistic fuzzy sets”. In: Sgurev V (ed) VII ITKR’s Session, Sofia, Jun. 1983

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

    Article  Google Scholar 

  19. Zou L, Peng S, Pei Z, Xu Y (2012) On an algebra of linguistic truth-valued intuitionistic lattice-valued logic. J Intell Fuzzy Syst 24(3):447–457

    Article  MathSciNet  Google Scholar 

  20. Zadeh LA (1973) Outline of a new approach to the analysis of complex system sand decision processes. IEEE Trans Syst Man Cybern 3:28–44

    Article  MathSciNet  Google Scholar 

  21. Zhou BK, Xu GQ, Li SJ (2015) The quintuple implication principle of fuzzy reasoning. Inf Sci 297:202–215

    Article  MathSciNet  Google Scholar 

  22. Kaburlasos VG (2004) FINs: lattice theoretic tools for improving prediction of sugar production from populations of measurements. IEEE Trans Syst Man Cybern Part B Cybern 34(2):1017–1030

    Article  Google Scholar 

  23. Chen SW, Liu J, Wang H et al (2014) A linguistic multi-criteria decision making approach based on logical reasoning. Inf Sci 258:266–276

    Article  MathSciNet  Google Scholar 

  24. Shi YY, Zou L, Xu YY et al (2017) Linguistic truth-valued multi-attribute decision making approach based on TOPSIS, IDEAL 2017. LNCS 10585:481–488

    Google Scholar 

  25. Zou L, Wen X, Wang YX (2016) Linguistic truth-valued intuitionistic fuzzy reasoning with applications in human factors engineering. Inf Sci 327:201–216

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work is partially supported by National Natural Science Foundation of China (no. 61772250 and 61672127).

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Authors and Affiliations

  1. School of Computer Science and Technology, Dalian University of Technology, Dalian, 116024, China

    Yunxia Zhang & Degen Huang

  2. School of Computer and Information Technology, Liaoning Normal University, Dalian, 116081, China

    Hongmei Lin & Li Zou

Authors
  1. Yunxia Zhang
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  2. Degen Huang
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  3. Hongmei Lin
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  4. Li Zou
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Correspondence to Li Zou.

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Zhang, Y., Huang, D., Lin, H. et al. Knowledge reasoning approach with linguistic-valued intuitionistic fuzzy credibility. Int. J. Mach. Learn. & Cyber. 11, 169–184 (2020). https://doi.org/10.1007/s13042-019-00965-y

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  • DOI: https://doi.org/10.1007/s13042-019-00965-y

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