Alternative views on fuzzy numbers and their application to fuzzy differential equations
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 4
Publish Year: 1403
Type: Journal paper
Language: English
View: 28
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Document National Code:
JR_JMMO-12-4_003
Index date: 19 December 2024
Alternative views on fuzzy numbers and their application to fuzzy differential equations abstract
We consider fuzzy valued functions from two parametric representations of \alpha-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations. Their relation with Zadeh's extension principle and the generalized Hukuhara derivative is discussed. Moreover,we prove existence and uniqueness theorems for fuzzy differential equations. Illustrative examples are given.
Alternative views on fuzzy numbers and their application to fuzzy differential equations Keywords:
Alternative views on fuzzy numbers and their application to fuzzy differential equations authors
Akbar H. Borzabadi
Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran
Mohammad Heidari
Young Researchers and Elite Club, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
Delfim F. M. Torres
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, ۳۸۱۰-۱۹۳ Aveiro, Portugal
