Krassimir T. Atanassov (2001)
Mathware and Soft Computing
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The concept of s-basis operators over intuitionistic fuzzy sets is introduced and all 2-, 3-, 4- basis operators are listed.
E. E. Kerre, A. A. Nouh, A. Kandil (1991)
Matematički Vesnik
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Yu Shen, Conghua Yan (2024)
Kybernetika
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In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally,...
Pedro J. Burillo López, Noé Frago Paños, Ramón Fuentes González (2003)
Mathware and Soft Computing
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First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family...
Francisco Gallego Lupiáñez (2003)
Mathware and Soft Computing
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The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. Çoker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.
G. Kilibarda (1984)
Matematički Vesnik
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Francisco Gallego Lupiañez (2001)
Kybernetika
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The aim of this paper is to study some properties of Michálek’s fuzzy topology which are quite different of the classic properties of the Chang’s topology.
Shi, Fu-Gui (2009)
International Journal of Mathematics and Mathematical Sciences
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Al Ghour, Samer (2010)
International Journal of Mathematics and Mathematical Sciences
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Javier Elorza, Pedro Burillo (2004)
Mathware and Soft Computing
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In a previous paper we explored the notion of coherent fuzzy consequence operator. Since we did not know of any example in the literature of non-coherent fuzzy consequence operator, we also showed several families of such operators. It is well-known that the operator induced by a fuzzy preorder through Zadeh's compositional rule is always a coherent fuzzy consequence operator. It is also known that the relation induced by a fuzzy consequence operator is a fuzzy preorder if such operator...