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
@article{paperid:1061412,
author = {Kardan, Iman and Akbarzadeh Totonchi, Mohammad Reza and Akbarzadeh Tootoonchi, Alireza and Kalani, Hadi},
title = {Quasi type 2 fuzzy differential equations},
journal = {Journal of Intelligent and Fuzzy Systems},
year = {2017},
volume = {32},
number = {1},
month = {January},
issn = {1064-1246},
pages = {551--563},
numpages = {12},
keywords = {Fuzzy derivative; generalized differentiability; fuzzy differential equations; quasi type 2 fuzzy sets},
}
%0 Journal Article
%T Quasi type 2 fuzzy differential equations
%A Kardan, Iman
%A Akbarzadeh Totonchi, Mohammad Reza
%A Akbarzadeh Tootoonchi, Alireza
%A Kalani, Hadi
%J Journal of Intelligent and Fuzzy Systems
%@ 1064-1246
%D 2017
