Differential equation with interval valued fuzzy number and its applications

Sankar Prasad Mondal ()
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Sankar Prasad Mondal: National Institute of Technology

International Journal of System Assurance Engineering and Management, 2016, vol. 7, issue 3, No 12, 370-386

Abstract: Abstract The paper presents an adaptation of solution of first order differential equation with initial value as interval valued triangular fuzzy number. The arithmetic operation of interval-valued triangular fuzzy number is re-established and studied with the help of fuzzy extension principle method. Demonstration of fuzzy solutions of the governing differential equation is carried out using the approaches namely, generalized Hukuhara derivative. Additionally, different illustratively examples and applications are also undertaken with the useful table and graph for usefulness for attained to the proposed approaches.

Keywords: Interval valued fuzzy number; Extension principle; Fuzzy differential equation (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13198-016-0474-7

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