Please use this identifier to cite or link to this item: https://doi.org/10.1006/jmaa.1993.1114
Title: Fuzzy Set Operations Based on the Theory of Falling Shadows
Authors: Tan, S.K. 
Wang, P.Z. 
Lee, E.S.
Issue Date: 15-Mar-1993
Citation: Tan, S.K., Wang, P.Z., Lee, E.S. (1993-03-15). Fuzzy Set Operations Based on the Theory of Falling Shadows. Journal of Mathematical Analysis and Applications 174 (1) : 242-255. ScholarBank@NUS Repository. https://doi.org/10.1006/jmaa.1993.1114
Abstract: In this paper, we establish a theoretical approach to define fuzzy set operations based on the theory of falling shadows. The main characteristic of our definition of fuzzy set operations is that it is semantically dependent in the sense that the formula of our definition will vary according to the correlation of the fuzzy sets concerned. We show that the well known formulae of fuzzy set operations such as the max-mm operations, the bounded sum-difference operations, and the probability sum-product operations are consequences of our definition under three different correlations of the fuzzy sets. © 1993 Academic Press. All rights reserved.
Source Title: Journal of Mathematical Analysis and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/117024
ISSN: 0022247X
DOI: 10.1006/jmaa.1993.1114
Appears in Collections:Staff Publications

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