ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS

Document Type: Research Paper

Author

Department of Mathematics, Sripat Singh College, Jiaganj-742123, Murshidabad, West Bengal, India

Abstract

The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by  Wu and Gong \cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which the point-wise limit of a sequence of fuzzy Henstock integrable functions is fuzzy Henstock integrable has been established.

Keywords


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