Carlo Bertoluzza, Antonella Bodini (1996)
Mathware and Soft Computing
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In a previous work ([3]) we proved that the Nguyen's condition for [f(tilde-A)] to be equal to f(A) also holds for the most general class of the L-fuzzy subsets, where L is an arbitrary lattice. Here we recall the main points of the proof ad present some examples ralated to non-linear lattices.
Pedro J. Burrillo, Humberto Bustince (1995)
Mathware and Soft Computing
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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.
Pedro J. Burillo López, Ramón Fuentes-González, León González Sotos, Angel Marín (2000)
Mathware and Soft Computing
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The class of contrast intensification operators is formally defined and it's lattice structure studied. The effect of these operators in the referential classifications derived from special kinds of fuzzy relations is also determined. Results and examples are presented providing contrast intensification operators which keep quasi-uniformity structures generated by fuzzy relations while diminishing the fuzziness or the entropy of the relations.
Pedro J. Burillo, Humberto Bustince (1995)
Mathware and Soft Computing
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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...
R. Ezzati, S. Abbasbandy (2007)
Mathware and Soft Computing
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Xu, Zhen-Guo, Li, Hong-Yan, Yun, Zi-Qiu (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ana M. Nieto Morote, Francisco Ruz Vila (2002)
Mathware and Soft Computing
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We present a fuzzy multicriteria decision making to get the ranking of several projects presented to the major council of Valencia whose final aim is to define the future urbanistic structure of the city. This technique allows us to deal with such problems that are defined by linguistic (and vague) terms, like the case mentioned below.
Pedro J. Burillo López, Noé Frago Paños, Ramón Fuentes González (2001)
Mathware and Soft Computing
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Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators, including as particular case, other ones existing in related literature. In the definition of fuzzy erosion and dilation we use several fuzzy implications (Annexe A, Table of fuzzy implications),...
Anna Kolesárová (1998)
Mathware and Soft Computing
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The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm T acts on linear fuzzy intervals just as the T-based addition. Some examples are given.
Popov, Antony (2010)
Serdica Journal of Computing
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This work shows an application of a generalized approach for constructing dilation-erosion adjunctions on fuzzy sets. More precisely, operations on fuzzy quantities and fuzzy numbers are considered. By the generalized approach an analogy with the well known interval computations could be drawn and thus we can define outer and inner operations on fuzzy objects. These operations are found to be useful in the control of bioprocesses, ecology and other domains where data uncertainties exist. ...