BEST APPROXIMATION IN INTUITIONISTIC FUZZY n-NORMED LINEAR SPACES

Authors

  • M. Sen Department of Mathematics National Institute of Technology Silchar Silchar 788010, Assam, India
  • P. Debnath Department of Mathematics National Institute of Technology Silchar Silchar 788010, Assam, India

Keywords:

Intuitionistic fuzzy n-normed linear space, Best approximation, n-normed space

Abstract

The central issues that are addressed by the theory of best approximation are related to the questions of existence, uniqueness, characterizations and qualitative properties of the minimizing functions. The theory can also estimate the rapidity of convergence of a sequence of functions converging to a minimizing function. The aim of this article is to introduce and study the notions of best approximation, proximal set, Chebyshev set and approximatively compact set in the new setup of intuitionistic fuzzy n-normed linear spaces.

Additional Files

Published

03/31/2012

How to Cite

Sen, M., & Debnath, P. (2012). BEST APPROXIMATION IN INTUITIONISTIC FUZZY n-NORMED LINEAR SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 3(1), 45–53. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2653

Issue

Vol. 3 No. 1 (2012): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.