FUZZY numbersIn this paper, we introduce λ - statistical convergence and the condition of being λ - statistical Cauchy of real number sequences in fuzzy n normed linear spaces. At the same time, in fuzzy n normed space, we have introduced the concept of (V, A) summability...
By the rapid advances in linear theory of fuzzy normed spaces and fuzzy bounded linear operators it is natural idea to set and improve its nonlinear peer. We aimed in this work to realize this idea by introducing fuzzy Fréchet derivative based on the fuzzy norm definition in Bag and Samanta...
Konwar, N., Debnath, P.: Continuity and Banach contraction principle in intuitionistic fuzzy n-normed linear spaces. J. Intell. Fuzzy Syst. 33(4), 2363–2373 (2017) MATH Google Scholar Wei, G.W., Alsaadi, F.E., Hayat, T., Alsaedi, A.: Bipolar fuzzy Hamacher aggregation operators...
In this paper, we briefly summarize some work on the area of functional spaces in fuzzy analysis and devoted to four directions. The first direction is the development of the fuzzy functional analysis on the setting of topological linear space and several kinds of fuzzy normed linear spaces. Nex...
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Normality in fuzzy topological spaces J. Math. Anal. Appl. (1975) A.K. Katsaras Linear fuzzy neighborhood spaces Fuzzy Sets and Systems (1985) R. Lowen Fuzzy neighborhood spaces Fuzzy Sets and Systems (1982) N.N. Morsi On fuzzy pseudo-normed vector spaces Fuzzy Sets and Systems (1988) ...
This implies that N′(F(x) − F′(x), t) = 1 and F(x) = F′(x), for all x∈ X by (N2). We can use Theorem 1 to get a classical result in the framework of normed spaces. Let (X,∥·∥) be a normed linear space. Then we can define a fuzzy norm NX on X by ...
33] M. Mursaleen and SA Mohiuddine, On ideal convergence in probabilistic normed spaces 39] T. ˇSalat, BC Tripathy and M. Ziman, On some properties of I-convergence, Tatra Mt YoungBae Jun, On lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces 年份: 2013 收藏...
A fuzzy normed space is a triplet ⁎(X,N,⁎), where X is a real vector space, ⁎ is a t-norm and N is a fuzzy set Conclusion The idea of a fuzzy inner product space on a linear space has been introduced whose corresponding fuzzy norm is of the Bag and Samanta type. ...
LOCAL BASES WITH STRATIFIED STRUCTURE INI-TOPOLOGICAL VECTOR SPACES Fang, J. X. 83-93 ABOUT THE FUZZY GRADE OF THE DIRECT PRODUCT OF TWO HYPERGROUPOIDS Cristea, I. 95-108 A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES ...