TAILIEUCHUNG - On the real-world semantics interpretability of fuzzy rule based systems under fuzzy set approach and hedge algebra approach

The study will further discuss the novel real-world-semantics-based approach (RWSapproach) to the interpretability of fuzzy systems proposed in [8] to show that the RWS-interpretability of fuzzy systems in this approach is very essential and practical. It is also analyzed that the usual theories as in mathematics and physics are all RWS-interpretable or, roughly speaking, they are able to model their real-world parts, properly. | Journal of Computer Science and Cybernetics, , (2017), 86–106 DOI ON THE REAL-WORLD-SEMANTICS INTERPRETABILITY OF FUZZY RULE BASED SYSTEMS UNDER FUZZY SET APPROACH AND HEDGE ALGEBRA APPROACH THU ANH NGUYEN1 , CAT HO NGUYEN1,2 1 Institute of Information Technology, Vietnam Academy of Science and Technology of Basic Research and Application, Duy Tan University at Da Nang 1 thuanh@; 2 ncatho@ 2 Institute Abstract. The study will further discuss the novel real-world-semantics-based approach (RWSapproach) to the interpretability of fuzzy systems proposed in [8] to show that the RWS-interpretability of fuzzy systems in this approach is very essential and practical. It is also analyzed that the usual theories as in mathematics and physics are all RWS-interpretable or, roughly speaking, they are able to model their real-world parts, properly. It is pointed out that though the fuzzy set theory is a great one which is very flexible, has many advantages in the application and obtains numerous achievements, methodologically, it still has an essential shortcoming that it is not RWS-interpretable on the viewpoint of this RWS-approach. To ensure the RWS-interpretability of a fuzzy linguistic system, it is argued that word-domains of variables with their own order-based semantics should be made use and interpreted as a formal bridge to connect the real-world semantics with the constructed fuzzy linguistic system that works on the designed computational semantics of linguistic words. It is initially shown that there exists a formalism based on the theory of hedge algebras to design RWS-interpretable fuzzy systems. Keywords. Real-world-semantics-based approach, real-world-semantics-based interpretability, linguistic fuzzy rule bases, fuzzy system. 1. INTRODUCTION It is obvious that real world (RW-) owns numerous various structures and humans cognize the RW-structures based on their formal languages including formal .

• Toán học
• Journal of Computer Science and Cybernetics
• On the real world semantics interpretability
• Fuzzy rule based systems under fuzzy set approach
• Hedge algebra approach
• The RWS interpretability
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