-compactness in -fuzzy topological spaces.
Hanafy, I.M. (2009)
The Journal of Nonlinear Sciences and its Applications
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Hanafy, I.M. (2009)
The Journal of Nonlinear Sciences and its Applications
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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.
Garrido, Angel (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Thillaigovindan, N., Shanthi, S.Anita, Vijayabalaji, S. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Hanafy, I.M., Abd El-Aziz, A.M., Salman, T.M. (2006)
Boletín de la Asociación Matemática Venezolana
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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.
B. Amudhambigai, Mallasamudram Kuppusamy Uma, Elango Roja (2013)
Mathematica Bohemica
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In this paper, the concepts of -fuzzy -open sets and -fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for -fuzzy basically disconnected spaces is discussed.
Cristina Alcalde, Ana Burusco, Ramón Fuentes-González (2005)
Mathware and Soft Computing
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In this paper, a new characterization for the interval-valued residuated fuzzy implication operators is presented, with which it is possible to use them in a simple and efficient way, since the calculation of the values of an intervalvalued implication applicated to two intervals is reduced to the study of a fuzzy implication applicated to the extremes of these intervals. This result is very important in order to extract knowledge from an L-fuzzy context with incomplete information....