The Method to Construct Elementary Dependent Function on Single Interval

Abstract:

Extension theory are widely used in many fields such as automation, manufacturing process, operations management and artificial intelligence. Dependent function is the core of extension set. In this paper, we construct the elementary dependent function on the single interval, i.e., the discussion field is the same as the positive one, and it includes finite and infinite ones, respectively. Some properties are also discussed. The proposed functions allow extension theory with a broader scope.

• Periodical: Key Engineering Materials (Volumes 474-476)
• Pages: 651-654
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.474-476.651
• Online since: April 2011
• Authors: Qiao Xing Li, Xing Sen Li
• Keywords: Artificial Intelligence (AI), Dependent Function, Extension Theory, Location Value

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