Describing fuzzy sets using a new concept: Fuzzify functor

• Main Authors: WEI, Kexin, WANG, Zhaoxia, WANG, Quan
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2009
• Subjects: Artificial Intelligence and Robotics; Numerical Analysis and Scientific Computing
• Online Access: https://ink.library.smu.edu.sg/sis_research/5551; https://ink.library.smu.edu.sg/context/sis_research/article/6554/viewcontent/Wei2009_DescribingFuzzySets_pv.pdf
• Institution: Singapore Management University

This paper proposed a fuzzify functor as an extension of the concept of fuzzy sets. The fuzzify functor and the first-order operated fuzzy set are defined. From the theory analysis, it can be observed that when the fuzzify functor acts on a simple crisp set, we get the first order fuzzy set or type-...