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An Alternative Type Reduction Approach Based on Information Combination with Interval Operations for Interval‐Valued Fuzzy Sliding Controllers
Author(s) -
Tao ChinWang,
Taur Jinshiuh,
Chang ChiaWen,
Chen HueiRong
Publication year - 2017
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21843
Subject(s) - interval (graph theory) , reduction (mathematics) , mathematics , fuzzy set , control theory (sociology) , type (biology) , set (abstract data type) , simple (philosophy) , fuzzy logic , computer science , algorithm , mathematical optimization , artificial intelligence , control (management) , ecology , geometry , combinatorics , biology , philosophy , epistemology , programming language
In this paper, an alternative type reduction approach based on information combination with crisp interval operations (crisp interval operation type reduction [CIOTR]) is presented to avoid the time‐consuming difficulty in the type reduction procedure for the mainly used interval‐valued membership functions (MFs). Multiinformation is considered to be included in the primary MF of an interval‐valued fuzzy set (FS). Interval operations are utilized to combine the multiinformation. With the integrated information, an interval‐valued FS is reduced to be a simple FS. The proposed type reduction approach (CIOTR) is also applied to the design of a hybrid interval‐valued fuzzy sliding controller (HFSC IV ) for a double‐pendulum‐and‐cart system. The simulation results are included to show the effectiveness of the designed HFSCs IV using the CIOTR.