A New Measurement of Similarity About Rough Vague Set

  • Jian-xin Wang
  • Sheng-Quan Ma
  • Zhi-qing Zhao
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 254)


This chapter discussed the concept of rough set and rough Vague (RV) set, the way of representation of knowledge. And also blend rough set with Vague set, described the concept of RV set, gave related concept of rough Vague (RV) value and a new method of measurement of similarity, studied the related property and the method of measurement of similarity for the RV sets.


Rough sets Vague sets Rough Vague sets Similarity measure 



This work is supported by International Science & Technology Cooperation Program of China (2012DFA11270) and Hainan International Cooperation Key Project (GJXM201105).


  1. 1.
    Zadeh, L.A.: The concept of a linguistic and its application to approximate reasoning. Inf. Sci. 8(3), 199–219 (1975)MATHMathSciNetGoogle Scholar
  2. 2.
    Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)MATHMathSciNetGoogle Scholar
  3. 3.
    Atanassov, K., Gargov, G.: Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 31(3), 343–349 (1989)MATHMathSciNetGoogle Scholar
  4. 4.
    Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Trans. SMC 23(2), 610–614 (1993)Google Scholar
  5. 5.
    Deschrijver, G., Kerre, E.E.: On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst. 133(2), 227–235 (2003)MATHMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.School of Information and TechnologyHainan Normal UniversityHaikouChina

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