Issue:Intuitionistic fuzzy metric space

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Title of paper: Intuitionistic fuzzy metric space Author(s): Said Melliani Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco melliani@fstbm.ac.ma M'hamed Elomari Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Lalla Saadia Chadli Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Razika Ettoussi Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 1, pages 43—53 Download:  PDF (187  Kb, File info) Abstract: We propose a method for constructing a Hausdorff intuitionistic fuzzy metric on the set of the nonempty compact subsets of a given intuitionistic fuzzy metric space. We discuss several important properties as completeness, completion and separability. Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy metric space, Intuitionistic fuzzy number. AMS Classification: 03E72, 08A72. References: Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96. Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg. Atanassov, K., Vassilev, P., & Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia. Brezis, H. (2010) Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer. Chadli, L. S., & Melliani, S. (2002) On distance between intuitionistic fuzzy sets, Notes on Intuitionistic fuzzy sets, 8(3), 34–36. Grzegorzewski, P. (2004) Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric, Fuzzy Sets and Systems, 148, 148–319. Puri, M. L., & Ralescu, D. A. (1986) Fuzzy random variables, J. Math. Anal. Appl., 114, 409–422. Saadati, R., & Park, J. H. (2006) On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 331–344. Szmidt, E., & Kacprzyk, J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114, 505–518. Citations: Issue:Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method ‎ (← links) Issue:Representation of complex grades of membership and non-membership for a complex intuitionistic fuzzy sets ‎ (← links) Issue:The Cauchy problem for intuitionistic fuzzy differential equations ‎ (← links) Issue:Intuitionistic fuzzy α-semigroup ‎ (← links) Issue:Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method ‎ (← links) Issue:Deferred statistical convergence of sequences in intuitionistic fuzzy normed spaces ‎ (← links) Issue:The convergence of intuitionistic fuzzy sets ‎ (← links) Issue:Existence and uniqueness of intuitionistic fuzzy solution for semilinear intuitionistic fuzzy integro-differential equations with nonlocal conditions ‎ (← links) Issue:Intuitionistic fuzzy evolution problem with nonlocal conditions ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.