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Some results on generalized Hukuhara diamond-α derivative and Aumann integral of fuzzy number-valued functions on time scales

delete2026-07-03
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PRE
AI
S
Selami Bayeğ *
F
Funda Raziye Mert
B
Bıllûr Kaymakçalan
DOI：10.1016/j.fss.2026.110023delete
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Abstract

Abstract

En 中文
• We prove that generalized Hukuhara diamond-α differentiability implies both delta and nabla differentiability and ensures continuity, while also deriving algebraic rules including addition, scalar multiplication, and product formulas. • We introduce the generalized Hukuhara diamond-α Aumann integral for fuzzy number-valued functions on arbitrary time scales. • Fundamental results such as the Fundamental Theorem of Calculus and Integration by Parts are established for the diamond-α Aumann integral.

Journal

Fuzzy Sets and Systems cover
Fuzzy Sets and Systems
IF:
2.7
Papers:
7.6K
Citations:
1.5W

Organization

U
University of Turkish Aeronautical Association
Scholars:
6
Papers: 4
Citations: 144
A
Adana Alparslan Turkes Science and Technology University
Scholars:
136
Papers: 87
Citations: 8
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