Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces [PDF]
Abstract In this paper, we prove that some coupled fixed point theorems and coupled coincidence point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces can be directly deduced from fixed point theorems for contractions in fuzzy normed spaces. We also prove that these results are equivalent.
Zhu, Jiang +2 more
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GATEAUX and FRÉCHET DERIVATIVE IN INTUITIONISTIC FUZZY NORMED LINEAR SPACES [PDF]
In this paper, we introduce intuitionistic fuzzy derivative, intuitionistic fuzzy Gateaux derivative and intuitionistic fuzzy Fréchet derivative and some of their properties are studied. The relations between intuitionistic fuzzy Gateaux derivative and intuitionistic fuzzy Fréchet derivative are studied.
BIVAS DINDA, T. K. SAMANTA, U. K. BERA
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ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES [PDF]
In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes.
Kişi, Ömer
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n-Tuplet Coincidence Point Theorems in Intuitionistic Fuzzy Normed Spaces [PDF]
For an arbitrary n positive integer, we investigate the existence of n-tuplet coincidence points in intuitionistic fuzzy normed space. Results of the paper are more general than those of the coupled and the tripled fixed point works in intuitionistic ...
KARAKAYA, Vatan +3 more
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Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces [PDF]
We define and study Browder's fixed point theorem and relation between an intuitionistic fuzzy convex normed space and a strong intuitionistic fuzzy uniformly convex normed space.
M Cancan, M. Cancan, Cancan, Murat
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The main purpose of this article is to introduce and study some new spaces of I-convergence of triple sequences in intuitionistic fuzzy normed space defined by compact operator i.e 3SI (μ,ν)(T ) and 3SI0(μ,ν)(T ) and examine some fundamental properties ...
Imran Idrisi, Mohd. +2 more
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Rough statistical convergence in intuitionistic fuzzy normed spaces
In this paper, we have defined rough statistical convergence in intuitionistic fuzzy normed spaces which is an useful characterization in the field of statistical convergence. We have proved some properties related to rough convergence which provides some new functional tools in the situation of uncertainty like intuitionistic fuzzy normed ...
Reena Antal +2 more
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Some Topological Properties of Intuitionistic Fuzzy Normed Spaces [PDF]
In 1986, Atanassov introduced the concept of intuitionistic fuzzy set theory which is based on the extensions of definitions of fuzzy set theory given by Zadeh.This theory provides a variable model to elaborate uncertainty and vagueness involved in decision making problems.In this chapter, we concentrate our study on the ideal convergence of sequence ...
Vakeel A. Khan +2 more
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Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
wiley +1 more source
Finite Dimensional Intuitionistic Fuzzy Normed Linear Space
16 pages.
Samanta, T. K., Jebril, Iqbal H.
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