A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
By Luciano Stefanini. Fuzzy Sets Syst., 2010
515 citations recorded by the source corpus.
Subfields: Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/a422f829380065678074f6b6085091b9ad62f8b6
How researchers see this paper
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In Management Science and Operations Research
- Tofigh Allahviranloo
- Luciano Stefanini
- Saeid Abbasbandy
- Soheil Salahshour
- Barnabás Bede
- Yurilev Chalco-Cano
- Heriberto Román-Flores
- A. Flores-Franulic
In Statistics and Probability
- Tofigh Allahviranloo
- Luciano Stefanini
- Saeid Abbasbandy
- Soheil Salahshour
- Yurilev Chalco-Cano
- Heriberto Román-Flores
- Barnabás Bede
- A. Flores-Franulic
Citations in the corpus
- Note on ''Generalized Hukuhara differentiability of interval-valued functions and interval differential equations'' (2012, background): “[3] Let A,B ∈ κc , the generalized Hukuhara difference (gH−difference) between A and B is the set C ∈ κc which A ⊖g B = C if and only if A = B + C or B = A+ (−1)C.”
- SOLVING FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS BY FUZZY LAPLACE TRANSFORMS (2012, background): “Also, there exist some recently published papers with some modifications about application of Hukuhara difference and its generalization to solve fuzzy differential equations [2–4,17,23,24,29–31,35].”
- Some notes on generalized Hukuhara differentiability of interval-valued functions and interval differential equations (2012, background): “The g-di¤erence proposed in [33] overcomes these shortcomings of the above discussed concepts and the g-di¤erence of two fuzzy numbers always exists.”
- Ostrowski type inequalities for interval-valued functions using generalized Hukuhara derivative (2012, background): “(5) For more details and properties of gH -difference see [19, 20].”