Interval valued intuitionistic fuzzy number and its application in differential equation

Article type: Research Article

Authors: Mondal, Sankar Prasad^{; *}

Affiliations: Department of Mathematics, Midnapore College (Autonomous), Midnapore, West Midnapore, West Bengal, India

Correspondence: [*] Corresponding author. Sankar Prasad Mondal, Department of Mathematics, Midnapore College (Autonomous), Midnapore, West Midnapore-721101, West Bengal, India. E-mail: [email protected].

Abstract: The paper presents an adaptation of Interval valued intuitionistic fuzzy number. The arithmetic operation of interval-valued intuitionistic fuzzy number (IVIFN) is addressed here. The differentiability of IVIFN valued function is also addressed here. Demonstration of intuitionistic fuzzy solutions of differential equation is carried out with the said numbers. Additionally, a illustrative application is also undertaken with the useful graph for usefulness for attained to the proposed approaches.

Keywords: Interval valued intuitionistic fuzzy number, differential equation, Drug concentration problem

DOI: 10.3233/JIFS-161898

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 677-687, 2018