The Investigation of Some Essential Concepts of Extended Fuzzy-Valued Convex Functions and Their Applications
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we are thus motivated to define and introduce the extended fuzzy-valued convex functions that can take the singleton fuzzy values -infinity similar to and +infinity similar to at some points. Such functions can be characterized using the notions of effective domain and epigraph. In this way, we study important concepts such as fuzzy indicator function and fuzzy infimal convolution for extended fuzzy-valued functions. Finally, we introduce the concept of directional generalized derivative for extended above functions and its properties. Eventually, we give a practical example that will illustrate well the directional g-derivative for the extended fuzzy-valued convex function.
Açıklama
Anahtar Kelimeler
Hukuhara Differentiability, Interval, Difference, Equations
Kaynak
Advances In Fuzzy Systems
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
2024
