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Differential equation with interval valued fuzzy number and its applications

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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.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Agartala, Jirania, Tripura, 799046, India

    Sankar Prasad Mondal

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  1. Sankar Prasad Mondal
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Correspondence to Sankar Prasad Mondal.

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Mondal, S.P. Differential equation with interval valued fuzzy number and its applications. Int J Syst Assur Eng Manag 7, 370–386 (2016). https://doi.org/10.1007/s13198-016-0474-7

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  • DOI: https://doi.org/10.1007/s13198-016-0474-7

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