Sugeno capacities for the extension of exponential and hyperbolic discounting to fuzzy integrals

被引：0

作者：

Alcantud, Jose Carlos R. ^{[1
,2
]}

机构：

[1] Univ Salamanca, BORDA Res Unit, Salamanca, Spain

[2] Univ Salamanca, IME, Salamanca, Spain

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2024年 / 56卷 / 3-4期

关键词：

Sugeno capacity; fuzzy measure; Choquet integral; exponential discounting; hyperbolic dis- counting;

D O I：

10.52280/pujm.2024.56(3-4)04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article produces a blend between the fields of time discounting and fuzzy integrals. By exploiting the mathematical properties of the Sugeno capacities, we can produce a Choquet integral that simultaneously is subadditive and coincides with either the exponential or hyperbolic discounting additive formulas in the evaluation of individual time moments. Numerical analyses guarantee that the new valuation procedures are different from their additive counterparts.

引用

页码：102 / 111

页数：10

共 20 条

[1] Aaragozlu M., 2023, Punjab Uni. j. Aath., V5, pA73
[2] Similarity Measures based on the Novel Interval-valued Picture Hesitant Fuzzy Sets and their Applications in Pattern Recognition
Ahmad, Zeeshan
Mahmood, Tahir
Ullah, Kifayat
Jan, Naeem
[J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (07): : 455 - 475
[3] A simple proof for the convexity of the Choquet integral
Alfonsi, Aurelien
[J]. STATISTICS & PROBABILITY LETTERS, 2015, 104 : 22 - 25
[4] Beliakov G., 2020, Studies in Fuzziness and Soft Computing, V382
[5] Beliakov G., 2007, AGGREGATION FUNCTION, DOI DOI 10.1007/978-3-540-73721-6
[6] Choquet G., 1954, ANN I FOURIER, V5, P131, DOI [DOI 10.5802/AIF.53, 10.5802/aif.53]
[7] Fisher I., 1930, The Theory of Interest
[8] Grabisch M, 2016, THEORY DECIS SER C G, V46, P1, DOI 10.1007/978-3-319-30690-2
[9] Rate of temporal discounting decreases with amount of reward
Green, L
Myerson, J
McFadden, E
[J]. MEMORY & COGNITION, 1997, 25 (05) : 715 - 723
[10] VALUING PUBLIC-GOODS - THE PURCHASE OF MORAL SATISFACTION
KAHNEMAN, D
KNETSCH, JL
[J]. JOURNAL OF ENVIRONMENTAL ECONOMICS AND MANAGEMENT, 1992, 22 (01) : 57 - 70

← 1 2 →