نتایج جستجو برای: m fuzzy topological space

تعداد نتایج: 1136462  

2015
P. Rajarajeswari Senthil Kumar

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy perfectly regular weakly generalized continuous mappings and intuitionistic fuzzy perfectly regular weakly generalized open mappings in intuitionistic fuzzy topological space. Some of their properties are explored.

1999
Gloria Bordogna Gabriella Pasi

In this paper a method is proposed to compute typical objects for the classes in the scheme of a fuzzy object oriented database. Typical objects are considered as "representatives" of a fuzzy majority of the class instances. The instances of a class are represented in a topological space and the typical object is derived as "closest" to the fuzzy majority of the class instances.

Journal: :International Journal of Advanced Research in Science, Communication and Technology 2021

2010
Choonkil Park

Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4 . In particular, Bag and Samanta 5 , following Cheng and Mordeson 6 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 7 . T...

Journal: :Fuzzy Sets and Systems 2017
J. P. Boronski Jiri Kupka

Given a compact and connected metric space (continuum) X, we study topological and dynamical properties of the hyperspace of normal fuzzy sets F1(X) equipped with the Hausdorff, endograph or sendograph metric. Among the many results we show that it is contractible, path connected, locally contractible, locally path connected, locally simply connected and locally connected. For the endograph met...

2009
Choonkil Park Fabio Zanolin

Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4 . In particular, Bag and Samanta 5 , following Cheng and Mordeson 6 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 7 . T...

E. Marinov K. Atanassov

In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced...

2013
N. SUBRAMANIAN P. ANBALAGAN P. THIRUNAVUKARASU

The concept of fuzzy sets and fuzzy set operations were first introduced by Zadeh [30], fuzzy logic has become an important area of research in various branches of Mathematics such as metric and topological spaces, theory of functions, approximation theory etc. Subsequently several authors have discussed various aspects of the theory and applications of fuzzy sets. The concept of fuzzyiness has...

2010
Jung Rye Lee Sun-Young Jang Choonkil Park Dong Yun Shin

Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4 . In particular, Bag and Samanta 5 , following Cheng and Mordeson 6 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 7 . T...

In 1997, Fang proposed the concept of boundedness of $L$-fuzzy setsin $L$-topological vector spaces. Since then, this concept has beenwidely accepted and adopted in the literature. In this paper,several characterizations of bounded $L$-fuzzy sets in$L$-topological vector spaces are obtained and some properties ofbounded $L$-fuzzy sets are investigated.

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