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In this paper, we introduce and study the notion of fuzzy b-I-open sets, which is properly placed between fuzzy openness and fuzzy b-openness regardless the fuzzy topological ideal. We deduce some characterization theorems for such concepts exactly analogous to general topology. And we define the notion of fuzzy b-I-continuous function via fuzzy b-I-open sets and some of its properties are investigated...
In this paper, the definition of order-convergence is introduced in fuzzy number Space. Relations between order-convergence and other convergence such as endograph convergence, dp convergence and level convergence are investigated. It follows that for uniformly support bounded set of fuzzy numbers, the dp metric and endograph metric are both equivalent to order-convergence in the fuzzy number space.
In this paper, we introduce the concepts of Sh-interval valued fuzzy left ideal, Sh-interval valued fuzzy right ideal, Sh-interval valued fuzzy ideal and extension principle of interval valued fuzzy set, investigate some properties and propose some theorems for homomorphic image and its inverse image on Sh-interval valued fuzzy ideal. Finally, we investigate some properties on character of Sh-interval...
The disadvantages of the current architectures of the Ad hoc were analyzed. After that, an adaptive hiberarchy of the formation C4ISR system was given. The system based on both the plane architecture and the adaptive hiberarchy was simulated. The control spending of the two architectures were compared under the all kinds of the system scope. The simulation shows that the adaptive hiberarchy is better...
In this paper, we introduce the concept of θs, which is the transmissing expression of a reflexive relation θ on domain X, study the topological properties of generalized rough set (X, θ) and get some interesting results. These results will be not only conducive to better understanding of some basic concepts and properties in rough set theory, but also have theory and actual significance to topology.
Let (L, *, 1) be a commutative, strictly two-sided quantale with the underling lattice L being meet-continuous. In this paper, we introduce a notion of stratified L-fuzzy convergence space based on the theory of fuzzy orders, which is a common generalization of both crisp convergence space and stratified L-topological space. Then we investigate a notion of specialization L-preorder of stratified L-fuzzy...
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, the β-convergence theory of L-fuzzy ideals is explored by the concept of β-remote-neighborhood, and the relationships of L-fuzzy ideals and L-fuzzy nets are discussed. In addition, some properties of the notions...
The notion of near compactness degrees is introduced in L-topological spaces by means of the implication operator of L. An L-set G is near compact if and only if its near compactness degree NCD(G) = T. Some properties of near compactness degrees are investigated.
In this paper, we prove that the addition, scalar multiplication and intuitionistic fuzzy norm in an intuitionistic fuzzy normed space are all automatically continuous. The intuitionistic fuzzy continuity and boundedness of linear operators between intuitionistic fuzzy normed spaces are also discussed. Especially, it is proved that the set of all intuitionistic fuzzy continuous linear operators and...
By means of strongly semi-preopen L-sets and their inequality, a new countable SSP-compactness and a new SSP-Lindelöf property are introduced in L-topological spaces, where L is a complete De Morgan algebra. This new form does not depend on the structure of basis lattice L and L does not require any distributivity.
In this paper, an ω-convergence theory of molecular nets in an ω-molecular lattice is established. By means of the ω-convergence theory, some important characterizations with respective to the ω-closed sets, ωT2 separation and (ω1, ω2)-continuous mappings are obtained.
For L a complet Heyting algebra, on any complete L-ordered sets we introduce the concepts of L-closure operators, L-closure systems and L-closure L-systems. We show that there is a one-to-one correspondence between all L-closure operators and all L-closure systems (resp., L-closure L-systems).
The convergence theory is a basic theory of fuzzy topology and fuzzy analysis. In this paper we introduce the notions of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets. We also study the properties of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets.
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