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Choquet Integrals of fuzzifying measurable functions and their applications | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 20، شماره 5، آذر و دی 2023، صفحه 151-164 اصل مقاله (483.55 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.44472.7830 | ||
| نویسندگان | ||
| Jacob Wood1؛ Dojin Kim* 2؛ Lee-Chae Jang3 | ||
| 1JCU Singapore School of Business, James Cook University Singapore, 149 Sims Road | ||
| 2Department of Mathematics, Dongguk University, | ||
| 3Graduate School of Education, Konkuk University, | ||
| چکیده | ||
| This study introduces the Choquet integral of fuzzifying functions with respect to a fuzzy measure. To express various phenomena or ambiguous values in many applications may not be enough to show them as a function, in which case a fuzzifying function can be applied to achieve better expressions or flexibility for given function values. To apply Choquet integrals of fuzzifying functions, we consider Choquet integrals of interval-valued functions as an operator which are α-level functions of fuzzifying functions. In this study, we investigate some properties of Choquet integral of fuzzifying functions and present their applications. As part of this, a series of relevant examples and their subsequent applications are provided, along with the fuzzification of two integrands: a probability density function (PDF) and a utility function. | ||
| کلیدواژهها | ||
| Fuzzy sets؛ Choquet integral؛ Fuzzifying function؛ Probability density function؛ Utility function | ||
| مراجع | ||
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