Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets

Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the significance of avoiding contradictory outputs in inference processes. Later, the study of contradiction in the framework of Atanassov's intuitionistic fuzzy sets (A-IFSs) was initiated by Cubillo and Castiñeira (2004, Contradiction in intuitionistic fuzzy sets proceeding, 2180–2186). The axiomatic definition of contradiction measure was stated in Castiñeira and Cubillo (2009, International journal of intelligent systems, 24, 863–888). Likewise, the concept of continuity of these measures was formalized through several axioms. To be precise, they defined continuity when the sets ‘are increasing’, denominated continuity from below, and continuity when the sets ‘are decreasing’, or continuity from above. The aim of this paper is to provide some geometrical construction methods for obtaining contradiction measures in the framework of A-IFSs and to study what continuity properties these measures satisfy. Furthermore, we show the geometrical interpretations motivating the measures.

GLMP for automatic assessment of DFS algorithm learning

We describe how to use a Granular Linguistic Model of a Phenomenon (GLMP) to assess e-learning processes. We apply this technique to evaluate algorithm learning using the GRAPHs learning environment.

Effectiveness of AFLPs and retrotransposon-based markers for the identification of portuguese grapevine cultivars and clones

Grapevine germplasm, including 38 of the main Portuguese cultivars and three foreign cultivars, Pinot Noir, Pinot Blanc and Chasselas, used as a reference, and 37 true-to-type clones from the Alvarinho, Arinto, Loureiro, Moscatel Galego Branco, Trajadura and Vinhão cultivars were studied using AFLP and three retrotransposon-based molecular techniques, IRAP, REMAP and SSAP. To study the retrotransposon-based polymorphisms, 18 primers based on the LTR sequences of Tvv1, Gret1 and Vine-1 were used. In the analysis of 41 cultivars, 517 IRAP, REMAP, AFLP and SSAP fragments were obtained, 83% of which were polymorphic. For IRAP, only the Tvv1Fa primer amplified DNA fragments. In the REMAP analysis, the Tvv1Fa-Ms14 primer combination only produced polymorphic bands, and the Vine-1 primers produced mainly ISSR fragments. The highest number of polymorphic fragments was found for AFLP. Both AFLP and SSAP showed a greater capacity for identifying clones, resulting in 15 and 9 clones identified, respectively. Together, all of the techniques allowed for the identification of 54% of the studied clones, which is an important step in solving one of the challenges that viticulture currently faces.

Physiological features of Schizosaccharomyces pombe of interest in the making of white wines

This work studies the physiology of Schizosaccharomyces pombe strain 938 in the production of white wine with high malic acid levels as the sole fermentative yeast, as well as in mixed and sequential fermentations with Saccharomyces cerevisiae Cru Blanc. The induction of controlled maloalcoholic fermentation through the use of Schizosaccharomyces spp. is now being viewed with much interest. The acetic, malic and pyruvic acid concentrations, relative density and pH of the musts were measured over the entire fermentation period. In all fermentations in which Schizo. pombe 938 was involved, nearly all the malic acid was consumed and moderate acetic concentrations produced. The urea content and alcohol level of these wines were notably lower than in those made with Sacch. cerevisiae Cru Blanc alone. The pyruvic acid concentration was significantly higher in Schizo. pombe fermentations. The sensorial properties of the different final wines varied widely.

Obtaining contradiction measure on intuitionistic fuzzy sets from fuzzy connectives

In a previous paper, we proposed an axiomatic model for measuring self-contradiction in the framework of Atanassov fuzzy sets. This way, contradiction measures that are semicontinuous and completely semicontinuous, from both below and above, were defined. Although some examples were given, the problem of finding families of functions satisfying the different axioms remained open. The purpose of this paper is to construct some families of contradiction measures firstly using continuous t-norms and t-conorms, and secondly by means of strong negations. In both cases, we study the properties that they satisfy. These families are then classified according the different kinds of measures presented in the above paper.