Generalized Differentiability of Fuzzy-Valued Convex Functions and Applications
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media Deutschland GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the concept of generalized differentiability and level-wise generalized Hukuhara differentiability are extended for one-dimensional fuzzy-valued convex functions from R into E. In addition, the properties of generalized differentiability and characterization for fuzzy-valued convex functions in terms of generalized differentiability and the fundamental theorem of calculus generalized differential and fuzzy integral are presented in detail. Moreover, the concepts of generalized subgradient and generalized subdifferential in terms of level-wise generalized Hukuhara differentiability are extended for fuzzy-valued convex functions. Finally, by using their properties, the convex fuzzy optimization for the one-dimensional fuzzy-valued convex functions is discussed. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Açıklama
Anahtar Kelimeler
Fuzzy Numbers, Fuzzy Optimization, Fuzzy-Valued Convex Function, G-Differentiability, G-Subdifferential, G-Subgradient, Lgh-Differentiability
Kaynak
Studies in Fuzziness and Soft Computing
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
423
