Intuitionistic fuzzy normed space
Statistical limit superior and limit inferior in intuitionistic fuzzy normed spaces
... an intuitionistic fuzzy normed space (for short, IFNS) if X is a vector space,* is a continuous t-norm, ◊ is a continuous t-conorm, and μ, ν are fuzzy sets on X × (0, ∞) ...
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Intuitionistic Fuzzy Stability of n-Dimensional Cubic Functional Equation: Direct and Fixed Point Methods
... Definition 3.1.4. An IFN-space ( , X P µ ν , , ) T is said to be complete if every Cauchy sequence in X is convergent to a point x ∈ X .For further details about IFN space one can see ([4, 7, 8, 12, 13, ...
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Vol 8, No 10 (2017)
... linear space. For a systematic development of n-normed linear spaces, one may refer to [1, 2, 8, ...of fuzzy set was introduced by ...of fuzzy norm over a linear ...of fuzzy ...
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Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces
... the fuzzy theory has emerged as the most active area of research in many branches of mathematics and ...engineering. Fuzzy set theory is a powerful hand set for modelling uncertainty and vagueness in ...
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Intuitionistic fuzzy I convergent Fibonacci difference sequence spaces
... using Fibonacci difference matrix F. We studied certain elementary properties and topo- ˆ logical properties like linearity, first countability, hausdorfness. These results will give new approach to deal with the problems ...
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Lacunary Δ statistical convergence in intuitionistic fuzzy n normed space
... defined fuzzy n-normed linear ...of intuitionistic fuzzy normed space, Vijayabalaji et ...of intuitionistic fuzzy n-normed ...probabilistic normed ...
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On Fuzzy Ward Continuity in an Intuitionistic 2-Fuzzy 2-Normed Linear Space
... Proof: Let ϕ : F X ( ) → F Y ( ) be uniform continuous; let A be a fuzzy ward compact subspace of ().We assert that ϕ ( ) A is a fuzzy ward compact subspace of (). Consider a sequence { } g n in ϕ ( ), A ...
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Intuitionistic Fuzzy Hilbert Space And Some Properties
... of fuzzy norm,Later Cheng and Mordeson[3], Felbin[4], ...defined fuzzy norm and its properties in various ...of fuzzy inner product space (FIP-space) and fuzzy norm ...of ...
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Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces
... Example . Let X = R, μ(x, t) = t+|x| t , ν(x, t) = – t+|x| t for every x ∈ X, and let t > , a ∗ b = min {a, b}, a b = max {a, b} for all a, b ∈ [, ]. Then (X, μ, ν, ∗, ) is a complete intuitionistic ...
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Statistical convergence in a paranormed space
... in normed spaces by Kolk [12] and in locally convex Hausdorff topological spaces by Maddox ...probabilistic normed space and in intuitionistic fuzzy normed spaces, ...
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Fuzzy boundedness and contractiveness on intuitionistic 2-fuzzy 2-normed linear space
... of fuzzy sets was introduced by ...linear space has been introduced and developed by Gahler ...concepts fuzzy norm and α-norm were introduced by Bag and Samanta ...defined fuzzy linear ...
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Vol 9, No 3 (2018)
... of Fuzzy sets was introduced by ...interval-valued fuzzy subsets in [14]. J.H.Park[9] studied the notion of intuitionistic fuzzy metric ...of fuzzy inner product space and ...
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Coupled coincidence point theorems in (intuitionistic) fuzzy normed spaces
... Especially in [], Sintunavarat et al. proved some coupled fixed point theorems for contractive mappings in partially complete intuitionistic fuzzy normed spaces, which ex- tended and improved ...
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Mazur Ulam theorem under weaker conditions in the framework of 2 fuzzy 2 normed linear spaces
... a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy ...
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Some Properties of Compactness in Intuitionistic Fuzzy Topological Spaces
... of fuzzy sets introduced by Zadeh [1] after then the concept of intuitionistic fuzzy set was introduced by Atanassov [2] as a sense of generalized this concept and introduced intuitionistic ...
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Vol 2, No 10 (2011)
... introduced fuzzy anti-norm on a linear space depending on the idea of fuzzy anti- norm was introduced by Bag and Samanta [3] and investigated their important ...in fuzzy anti-2-normed ...
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Vol 3, No 1 (2012)
... linear space. For a systematic development of n-normed linear space one may refer to [5, 6, 8, ...linear space. A detailed theory of fuzzy normed linear space can be found ...
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Generalized Ulam-Hyers Stability of a General Mixed AQCQ-functional Equation in Multi-Banach Spaces: a Fixed Point Approach
... The notion of multi-normed space was introduced by H. G. Dales and M. E. Polyakov [5]. This concept is somewhat similar to operator sequence space and has some connections with operator spaces and ...
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Fixed point Theorem in Intuitionistic Fuzzy metric space
... of Intuitionistic fuzzy set as a noted generalization of fuzzy set which has inspired intense research activity around this newly introduced ...of Intuitionistic fuzzy sets. Defined ...
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Vol 3, No 2 (2012)
... an intuitionistic fuzzy pre-open set [7] if A ⊆ int(cl(A)) and an intuitionistic fuzzy pre-closed set if cl(int(A)) ⊆ A, ...an intuitionistic fuzzy semi-open set [6] if A ⊆ ...
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