Preserving fuzzy subgroups and indistinguishability operators

Indistinguishability Operators - Modelling Fuzzy Equalities and Fuzzy Equivalence Relations

When writing can change your life, when writing can enrich you by offering much money, why don't you try it? Are you still very confused of where getting the ideas? Do you still have no idea with what you are going to write? Now, you will need reading. A good writer is a good reader at once. You can define how you write depending on what books to read. This indistinguishability operators modell...

Multiresolution Analysis and Fuzzy Indistinguishability Operators: a first approach

There exists a strong conceptual relation between Multiresolution Analysis, a theory mainly used in Wavelet Theory, and Indistinguishability Operators, a theory mainly used in Fuzzy Sets Theory. In this work a first approach to find a formal link between both theories is tried. It will be shown that, in some cases, a multiresolution analysis allows to build a family of Indistinguishability Oper...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Aggregating with Indistinguishability Operators

Finitely Valued Indistinguishability Operators

Fuzzy equality relations or indistinguishability operators generalize the concepts of crisp equality and equivalence relations in fuzzy systems where inaccuracy and uncertainty is dealt with. They generate fuzzy granularity and are an essential tool in Computing with Words (CWW). Traditionally, the degree of similarity between two objects is a number between 0 and 1, but in many occasions this ...