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- Regivan H. N. Santiago, Benjamín R. C. Bedregal, Benedito Melo Acióly
- Formal Aspects of Computing
- 2006

An interval is a continuum of real numbers, defined by its end-points. Interval analysis, proposed by R. Moore in the 50's, concerns the discovery of interval functions to produce bounds on the accuracy of numerical results that are guaranteed to be sharp and correct. The last criterion, correctness, is the main one since it establishes that the result of… (More)

- Renata H. S. Reiser, Programa de Pós - Graduação em Informática, +4 authors Programa de Pós - Graduação em Modelagem Computacional
- 2009

The aim of this work is to introduce the concepts of interval Dimplications and automorphisms, analyzing their main properties and establishing the relation between them. Also, interval D-implications are related with punctual D-implications and automorphisms.

This paper presents an analysis of interval-valued S-implications and interval-valued automorphisms, showing a way to obtain an interval-valued S-implication from two S-implications, such that the resulting interval-valued S-implication is said to be obtainable. Some consequences of that are: (1) the resulting interval-valued S-implication satisfies the… (More)

- Benjamı́n C. Bedregal, Regivan H. N. Santiago, Graçaliz Pereira Dimuro, Renata Hax Sander Reiser
- 2007

Interval fuzzy logic is firmly integrated with principles of fuzzy logic theory and interval mathematics. The former provides a complete and inclusive mathematical model of uncertainty from which the foundations of fuzzy control have widened the scope of control theory. The latter models the uncertainty and the errors in numerical computation, leading to… (More)

- Benjamín R. C. Bedregal, Regivan H. N. Santiago, Humberto Bustince, Daniel Paternain, Renata Hax Sander Reiser
- Int. J. Intell. Syst.
- 2014

Since the seminal paper of fuzzy set theory by Zadeh in 1965, many extensions have been proposed to overcome the difficulty for assigning the membership degrees. In recent years, a new extension, the hesitant fuzzy sets, has attracted a lot of interest due to its usefulness to handle those problems in which it is difficult to provide accurately a single… (More)

The aim of this work is to analyze interval fuzzy S-implications and interval automorphisms. Starting from any fuzzy S-implication, it is shown how to obtain an interval fuzzy S-implication canonically. We proved that the such interval fuzzy S-implications meet the optimality property and preserve the same properties satisfied by the fuzzy S-implication. In… (More)

- Benjamín R. C. Bedregal, Regivan H. N. Santiago
- Inf. Sci.
- 2013