Computer Science ›› 2018, Vol. 45 ›› Issue (2): 254-260.doi: 10.11896/j.issn.1002-137X.2018.02.044

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Intuitionistic Fuzzy Numbers Decision-theoretic Rough Sets

CHEN Yu-jin and LI Xu-wu   

  • Online:2018-02-15 Published:2018-11-13

Abstract: The cost function of decision-theoretic rough set does not include fuzzy concept,which can not describe the decision of the fuzzy information discreetly.For the above shortage,firstly,the concept of precise value of loss function was generalized to intuitionistic fuzzy numbers and the intuitionistic fuzzy numbers decision-theoretic rough set was established.Then,the expected loss with intuitionistic fuzzy numbers based on down-ideal and up-ideal was analyzed.The strategies based on conservatism,activism and variable semantics were described and decision rules were derived.The corresponding propositions of the intuitionistic fuzzy numbers decision-theoretic rough sets were analyzed.Finally,an example of disposition schemes for strategic target air-defense operation was given to illuminate the proposed model in applications.

Key words: Decision-theoretic rough sets,Loss function,Intuitionistic fuzzy numbers,Down-ideal,Up-ideal

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