Journal of Intelligent and Fuzzy Systems, ( ISI ), Volume (32), No (1), Year (2017-1) , Pages (551-563)

Title : ( Quasi type 2 fuzzy differential equations )

Authors: Iman Kardan , Mohammad Reza Akbarzadeh Totonchi , Alireza Akbarzadeh Tootoonchi , Hadi Kalani ,
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Abstract

In this paper, the notion of generalized differentiability is extended to quasi type 2 fuzzy mappings and the concept of quasi type 2 fuzzy derivative is defined. Then, based on this definition and by using the alpha-cut extension principle, an effective method is proposed for solving quasi type 2 fuzzy differential equations. Finally, the applicability of the proposed method is demonstrated through several examples.

Keywords

, Fuzzy derivative, generalized differentiability, fuzzy differential equations, quasi type 2 fuzzy sets