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“…In the logic above, the beliefs are all crisp. However in real-life, it is not always the case (Wu and Zhang, 2012). In fact, our belief is often fuzzy.…”
Section: Introductionmentioning
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“…In the logic above, the beliefs are all crisp. However in real-life, it is not always the case (Wu and Zhang, 2012). In fact, our belief is often fuzzy.…”
Section: Introductionmentioning
“…Zhang studies the uncertainty measure of attribute and attribute set of random information system and random fuzzy information system, uses uncertainty measure to carry out attribute reduction [6]. The concept of attribute correlation of random information system is introduced, and attribute reduction is applied to random information system based on attribute correlation [14,15]. This paper finds the attribute reduction method of random decision information system as the research purpose.…”
Section: Introductionmentioning
“…The fundamental numeric measures derived from the belief structure are a dual pair of belief and plausibility functions [7]. Combining the Dempster-Shafer theory and fuzzy set theory has been suggested to be a way to deal with different kinds of uncertain information in intelligent systems in a number of studies [8][9][10]. In [11][12][13][14], by introducing a pair of dual rough operations on Boolean algebras and using them to interpret some uncertainty measures on Boolean algebras, Bayesian theory and Dempster-Shafer theory are extended to be constructed on Boolean algebras.…”
Section: Introductionmentioning