A related fixed point theorem in two fuzzy metric spaces.
Aliouche, Abdelkrim, Merghadi, Faycel, Djoudi, Ahcene (2009)
The Journal of Nonlinear Sciences and its Applications
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Aliouche, Abdelkrim, Merghadi, Faycel, Djoudi, Ahcene (2009)
The Journal of Nonlinear Sciences and its Applications
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Vladislav Biba, Dana Hliněná (2012)
Kybernetika
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The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
Goudarzi, M., Vaezpour, S.M. (2009)
The Journal of Nonlinear Sciences and its Applications
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Dong Qiu, Weiquan Zhang (2013)
Kybernetika
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In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one. For the opposite problem, we obtain that there is a fuzzy metric space for which there is no strongest t-norm. As an application of the main results, it is shown that there are infinite non-isometric fuzzy metrics on an infinite set.
Milan Mareš, Radko Mesiar (2013)
Kybernetika
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This paper deals with the concept of the “size“ or “extent“ of the information in the sense of measuring the improvement of our knowledge after obtaining a message. Standard approaches are based on the probabilistic parameters of the considered information source. Here we deal with situations when the unknown probabilities are subjectively or vaguely estimated. For the considered fuzzy quantities valued probabilities we introduce and discuss information theoretical concepts. ...
Dong Qiu, Chongxia Lu, Shuai Deng, Liang Wang (2014)
Kybernetika
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In this paper, we generalize the classical Hausdorff metric with t-norms and obtain its basic properties. Furthermore, for a given stationary fuzzy metric space with a t-norm without zero divisors, we propose a method for constructing a generalized Hausdorff fuzzy metric on the set of the nonempty bounded closed subsets. Finally we discuss several important properties as completeness, completion and precompactness.
Juan J. Nieto, Rosana Rodríguez López (2006)
Revista Matemática Complutense
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We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy differential equations. To this purpose, we analyze the validity of some properties relative to sequences of fuzzy sets and fuzzy functions.
Hanafy, I.M., Abd El-Aziz, A.M., Salman, T.M. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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