Paired structures and other opposite-based models
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Paired structures and other opposite-based models. / Rodríguez, J. Tinguaro; Franco, Camilo; Gómez, Daniel; Montero, Javier.
International joint conference IFSA-EUSFLAT 2015. Atlantis Press, 2015. p. 1375-1381 229.Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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TY - GEN
T1 - Paired structures and other opposite-based models
AU - Rodríguez, J. Tinguaro
AU - Franco, Camilo
AU - Gómez, Daniel
AU - Montero, Javier
PY - 2015
Y1 - 2015
N2 - In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that we will assume dependent on a specific negation, previously determined. In this way we can define a paired fuzzy set as a couple of opposite valuation fuzzy sets. Then we shall explore what kind of new valuation fuzzy sets can be generated from the semantic tension between those two poles, leading to a more complex valuation structure that still keeps the essence of being paired. In this way several neutral fuzzy sets can appear, in particular indeterminacy, ambivalence and conflict. Two consequences are then presented: on one hand, we will show how Atanassov´s Intuitionistic Fuzzy Sets can be viewed as a particular paired structure when the classical fuzzy negation is considered; on the other hand, the relationship of this model with bipolarity is reconsidered from our paired view.
AB - In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that we will assume dependent on a specific negation, previously determined. In this way we can define a paired fuzzy set as a couple of opposite valuation fuzzy sets. Then we shall explore what kind of new valuation fuzzy sets can be generated from the semantic tension between those two poles, leading to a more complex valuation structure that still keeps the essence of being paired. In this way several neutral fuzzy sets can appear, in particular indeterminacy, ambivalence and conflict. Two consequences are then presented: on one hand, we will show how Atanassov´s Intuitionistic Fuzzy Sets can be viewed as a particular paired structure when the classical fuzzy negation is considered; on the other hand, the relationship of this model with bipolarity is reconsidered from our paired view.
U2 - 10.2991/ifsa-eusflat-15.2015.194
DO - 10.2991/ifsa-eusflat-15.2015.194
M3 - Article in proceedings
SP - 1375
EP - 1381
BT - International joint conference IFSA-EUSFLAT 2015
PB - Atlantis Press
Y2 - 30 June 2015 through 3 July 2015
ER -
ID: 141424610