The Interaction between Fuzzy Subsets and Groupoids

We discuss properties of a class of real-valued functions on a set X2 constructed as finite (real) linear combinations of functions denoted as X,*;μ, where X,* is a groupoid (binary system) and μ is a fuzzy subset of X and where X,*;μx,y≔μx*y-minμx,μy. Many properties, for example, μ being a fuzzy s...

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Bibliographic Details
Main Authors: Seung Joon Shin, Hee Sik Kim, J. Neggers
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/246285