Gerardo Muela

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To get a general description of dependence between n fuzzy variables x<inf>1</inf>,&#x2026;, X<inf>n</inf>, we can use the membership function &#x03BC;(&#x03C7;<inf>1</inf>,&#x2026;, x<inf>n</inf>) that describes, for each possible tuple of values (x<inf>1</inf>,&#x2026;, x<inf>n</inf>) to which extent this tuple is possible. There are, however, many(More)
In the usual [0, 1]-based fuzzy logic, the actual numerical value of a fuzzy degree can be different depending on a scale, what is important – and scale-independent – is the order between different values. To make a description of fuzziness more adequate, it is reasonable to consider interval-valued degrees instead of numerical ones. Here also, what is most(More)
In the usual [0, 1]-based fuzzy logic, the actual numerical value of a fuzzy degree can be different depending on a scale, what is important – and scale-independent – is the order between different values. To make a description of fuzziness more adequate, it is reasonable to consider interval-valued degrees instead of numerical ones. Here also, what is most(More)
In modern mathematics, many concepts and ideas are described in terms of category theory. From this viewpoint, it is desirable to analyze what can be determined if, instead of the basic category of sets, we consider a similar category of fuzzy sets. In this paper, we describe a natural fuzzy analog of the category of sets and functions, and we show that, in(More)
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