[1]LIU Hongwei,WANG Yanping.Research on uncertainty of interval-valued intuitionistic fuzzy rough sets[J].CAAI Transactions on Intelligent Systems,2014,9(5):613-617.[doi:10.3969/j.issn.1673-4785.201307007]
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Research on uncertainty of interval-valued intuitionistic fuzzy rough sets
CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
9
Number of periods:
2014 5
Page number:
613-617
Column:
学术论文—人工智能基础
Public date:
2014-10-25
- Title:
- Research on uncertainty of interval-valued intuitionistic fuzzy rough sets
- Keywords:
- rough sets; fuzzy sets; interval-valued intuitionistic fuzzy sets; interval-value intuitionistic fuzzy information system; interval-valued intuitionistic fuzzy relations; approximation operators; interval-valued intuitionistic fuzzy entropy; rough membership fun
- CLC:
- TP301;O236
- DOI:
- 10.3969/j.issn.1673-4785.201307007
- Abstract:
- The uncertainty of an approximate set in interval-value intuitionistic fuzzy information system is researched in this paper and the uncertainty measurement formula of interval-value intuitionistic fuzzy rough sets are given. Firstly, a pair of new interval-value intuitionistic fuzzy upper and lower approximation operators with symmetry is defined in the interval-value intuitionistic fuzzy approximation space. Secondly, the corresponding definition of rough membership functions on interval-value intuitionistic fuzzy is given and properties are discussed. Finally, the fuzzy entropy of interval-value intuitionistic fuzzy rough set is defined by interval-value intuitionistic fuzzy entropy of the interval-value intuitionistic fuzzy rough membership functions. The necessary and sufficient conditions when the fuzzy entropy on interval intuitice fuzzy rough set is zero are discussed. In addition, the rough measurement values of classic set and residual set are equal in the interval-value intuitionistic fuzzy approximate space, thereby proving the rationality of the definition.
- References:
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1900-01-01