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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)

- R H S Reiser, B C Bedregal, R H N Santiago, G P Dimuro
- 2009

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

- 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)

We characterize a fuzzy lattice through a fuzzy partial order relation, define ideals and filters of fuzzy lattices, characterize an ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is an ideal if and only if its support is an ideal. Similarly, we show the same for its level set. Lastly, we define some… (More)

- Ivan Mezzomo, Benjamín R. C. Bedregal, Regivan H. N. Santiago
- FUZZ-IEEE
- 2012

- Ivan Mezzomo, Benjamín R. C. Bedregal, Regivan H. N. Santiago
- Journal of Intelligent and Fuzzy Systems
- 2015

— 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.… (More)