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Introducing FDSA (Fuzzy Dictionary of Synonyms and Antonyms): applications on information retrieval and stand-alone use.

Santiago Fernández Lanza, Jorge Graña, Alejandro Sobrino (2003)

Mathware and Soft Computing

We start by analyzing the role of imprecision in information retrieval in the Web, some theoretical contributions for managing this problem and its presence in search engines, with special emphasis on the use of thesaurus in order to increase the relevance of the documents retrieved. We then present FDSA, a Spanish electronic dictionary of synonyms that compute degrees of synonymy, and an eflicient implementation of it by using deterministic acyclic finite-state automata. We conclude by conjecturing...

Intuitionistic fuzzy relations (Part I).

Pedro J. Burillo, Humberto Bustince (1995)

Mathware and Soft Computing

This paper introduces the concept of intuitionistic fuzzy relation. We also study the choice of t-norms and t-conorms which must be done in order that the composition of intuitionistic fuzzy relations fulfils the largest number of properties. On the other hand, we also analyse the intuitionistic fuzzy relations in a set and their properties. Besides, we also study the properties of the intuitionistic fuzzy relations in a set and the properties of the composition with different t-norms and t-conorms....

Intuitionistic fuzzy relations (Part II). Effect of Atanassov's operators on the properties of the intuitionistic fuzzy relations.

Pedro J. Burrillo, Humberto Bustince (1995)

Mathware and Soft Computing

In this paper we study the effect of Atanassov's operator on the properties of properties reflexive, symmetric, antisymmetric, perfect antisymmetric and transitive intuitionistic fuzzy relations. We finish the paper analysing the partial enclosure of the intuitionistic fuzzy relations and its effect on the conservation of the transitive property through Atanassov's operator.

Involutions in fuzzy set theory.

Sergei V. Ovchinnikov (1980)

Stochastica

All possible involutions in fuzzy set theory are completely described. Any involution is a composition of a symmetry on a universe of fuzzy sets and an involution on a truth set.

Is the product of ccc spaces a ccc space?

Nina M. Roy (1989)

Publicacions Matemàtiques

In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.

Iterating along a Prikry sequence

Spencer Unger (2016)

Fundamenta Mathematicae

We introduce a new method which combines Prikry forcing with an iteration between the Prikry points. Using our method we prove from large cardinals that it is consistent that the tree property holds at ℵₙ for n ≥ 2, ω is strong limit and 2 ω = ω + 2 .

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