Please use this identifier to cite or link to this item:
|Title:||Fuzzy Set Operations Based on the Theory of Falling Shadows|
|Authors:||Tan, S.K. |
|Source:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 17, 2018
WEB OF SCIENCETM
checked on Jan 2, 2018
checked on Jan 14, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.