scholarly journals Attribute reduction in interval-valued fuzzy ordered decision tables via evidence theory

2018 ◽  
Vol 2018 (16) ◽  
pp. 1475-1482 ◽  
Author(s):  
Jia Zhang ◽  
Xiaoyan Zhang ◽  
Weihua Xu
Keyword(s):  
Attribute Reduction ◽  
Evidence Theory ◽  
Decision Tables ◽  
Interval Valued

On variable-precision-based rough set approach to incomplete interval-valued fuzzy information systems and its applications

2021 ◽  
Vol 40 (1) ◽  
pp. 463-475
Author(s):  
Juan Li ◽  
Yabin Shao ◽  
Xiaoding Qi
Keyword(s):  
Information System ◽  
Information Systems ◽  
Attribute Reduction ◽  
Misclassification Rate ◽  
Fuzzy Information ◽  
Attribute Weights ◽  
Variable Precision ◽  
Multiple Attribute ◽  
Rough Approximation ◽  
Interval Valued

 With respect to multiple attribute group decision making problems in which the attribute weights and the expert weights take the form of real numbers and the attribute values take the form of interval-valued uncertain linguistic variable. In this paper, we introduce the idea of variable precision into the incomplete interval-valued fuzzy information system and propose the theory of variable precision rough sets over incomplete interval-valued fuzzy information systems. Then, we give the properties of rough approximation operators and study the knowledge discovery and attribute reduction in the incomplete interval-valued fuzzy information system under the condition that a certain degree of misclassification rate is allowed to exist. Furthermore, a decision rule and decision model are given. Finally, an illustrative example is given and compared with the existing methods, the practicability and effectiveness of this method are further verified.

Novel Incremental Algorithms for Attribute Reduction From Dynamic Decision Tables Using Hybrid Filter–Wrapper With Fuzzy Partition Distance

2020 ◽  
Vol 28 (5) ◽  
pp. 858-873
Author(s):  
Nguyen Long Giang ◽  
Le Hoang Son ◽  
Tran Thi Ngan ◽  
Tran Manh Tuan ◽  
Ho Thi Phuong ◽  
...  
Keyword(s):  
Attribute Reduction ◽  
Incremental Algorithms ◽  
Hybrid Filter ◽  
Fuzzy Partition ◽  
Partition Distance ◽  
Decision Tables

scholarly journals Probability Estimation in the Framework of Intuitionistic Fuzzy Evidence Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Yafei Song ◽  
Xiaodan Wang
Keyword(s):  
Evidence Theory ◽  
Estimation Method ◽  
Probability Estimation ◽  
Belief Functions ◽  
Intuitionistic Fuzzy ◽  
Dempster Shafer Theory ◽  
Fuzzy Environment ◽  
Shafer Theory ◽  
Theory Of Evidence ◽  
Interval Valued

Intuitionistic fuzzy (IF) evidence theory, as an extension of Dempster-Shafer theory of evidence to the intuitionistic fuzzy environment, is exploited to process imprecise and vague information. Since its inception, much interest has been concentrated on IF evidence theory. Many works on the belief functions in IF information systems have appeared. Although belief functions on the IF sets can deal with uncertainty and vagueness well, it is not convenient for decision making. This paper addresses the issue of probability estimation in the framework of IF evidence theory with the hope of making rational decision. Background knowledge about evidence theory, fuzzy set, and IF set is firstly reviewed, followed by introduction of IF evidence theory. Axiomatic properties of probability distribution are then proposed to assist our interpretation. Finally, probability estimations based on fuzzy and IF belief functions together with their proofs are presented. It is verified that the probability estimation method based on IF belief functions is also potentially applicable to classical evidence theory and fuzzy evidence theory. Moreover, IF belief functions can be combined in a convenient way once they are transformed to interval-valued possibilities.

scholarly journals Attribute reduction in interval-valued information systems based on information entropies

2016 ◽  
Vol 17 (9) ◽  
pp. 919-928 ◽  
Author(s):  
Jian-hua Dai ◽  
Hu Hu ◽  
Guo-jie Zheng ◽  
Qing-hua Hu ◽  
Hui-feng Han ◽  
...  
Keyword(s):  
Information Systems ◽  
Attribute Reduction ◽  
Interval Valued
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