2020
DOI: 10.2478/jaiscr-2020-0018
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Triangular Fuzzy-Rough Set Based Fuzzification of Fuzzy Rule-Based Systems

Abstract: In real-world approximation problems, precise input data are economically expensive. Therefore, fuzzy methods devoted to uncertain data are in the focus of current research. Consequently, a method based on fuzzy-rough sets for fuzzification of inputs in a rule-based fuzzy system is discussed in this paper. A triangular membership function is applied to describe the nature of imprecision in data. Firstly, triangular fuzzy partitions are introduced to approximate common antecedent fuzzy rule sets. As a consequen… Show more

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Cited by 23 publications
(6 citation statements)
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“…In cases where we have even a small portion of undistorted training data, we perform the initial training of type-2 systems by treating them as type-1 fuzzy systems, and then we use the method of generating type-2 fuzzy rules for uncertain data using the fuzzy-rough approximation [12,18,17] or possibilistic fuzzification [16,13]. So we reaffirm that type-2 fuzzy systems are key to extracting explanatory fuzzy rules, especially in the case of uncertainty or even ambivalency of these rules.…”
Section: Discussionmentioning
confidence: 99%
“…In cases where we have even a small portion of undistorted training data, we perform the initial training of type-2 systems by treating them as type-1 fuzzy systems, and then we use the method of generating type-2 fuzzy rules for uncertain data using the fuzzy-rough approximation [12,18,17] or possibilistic fuzzification [16,13]. So we reaffirm that type-2 fuzzy systems are key to extracting explanatory fuzzy rules, especially in the case of uncertainty or even ambivalency of these rules.…”
Section: Discussionmentioning
confidence: 99%
“…where x 1 , x 2 , x 3 , and x 4 denote boundary values of G 1 , G 2 , G 3 , and G 4 , respectively [29].…”
Section: Fault Diagnosis Methods Of Transmission Network Considering Meteorological Factorsmentioning
confidence: 99%
“…is the differential translation vector. The output layer is backwardly recursive by using BP network to optimize the weights of the r layer and improve accuracy of the deviation [16]. The details are as follows:…”
Section: Multi-module Retrieval Of Music Resources Based On Feature E...mentioning
confidence: 99%