An application of non-additive measures and corresponding integrals in tourism management

Other Title(s)

تطبيق القياسات الغير جمعية والتكاملات المقابلة لها في إدارة السياحة

Joint Authors

Ali, Mayadah Nizar Muhammad
Sabri, Raghad Ibrahim

Source

Baghdad Science Journal

Issue

Vol. 17, Issue 1 (31 Mar. 2020), pp.172-177, 6 p.

Publisher

University of Baghdad College of Science for Women

Publication Date

2020-03-31

Country of Publication

Iraq

No. of Pages

6

Main Topic

Mathematics

Topics

Abstract EN

Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measures and fuzzy integrals is that they can represent the importance of individual information sources and interactions among them. There are many applications of non-additive measures and fuzzy integrals such as image processing, multi-criteria decision making, information fusion, classification, and pattern recognition. This paper presents a mathematical model for discussing an application of non-additive measures and corresponding integrals in tourism management. First, the problem of tourism management is described for one of the tourism companies in Iraq. Then, fuzzy integrals (Sugeno integral, Choquet integral, and Shilkret integral) are applied with respect to non-additive measures to evaluate the grade of the gratification of the tourist of staying in a particular town for determining the best evaluation.

American Psychological Association (APA)

Sabri, Raghad Ibrahim& Ali, Mayadah Nizar Muhammad& Abbas, Jabbar. 2020. An application of non-additive measures and corresponding integrals in tourism management. Baghdad Science Journal،Vol. 17, no. 1, pp.172-177.
https://search.emarefa.net/detail/BIM-935434

Modern Language Association (MLA)

Sabri, Raghad Ibrahim…[et al.]. An application of non-additive measures and corresponding integrals in tourism management. Baghdad Science Journal Vol. 17, no. 1 (2020), pp.172-177.
https://search.emarefa.net/detail/BIM-935434

American Medical Association (AMA)

Sabri, Raghad Ibrahim& Ali, Mayadah Nizar Muhammad& Abbas, Jabbar. An application of non-additive measures and corresponding integrals in tourism management. Baghdad Science Journal. 2020. Vol. 17, no. 1, pp.172-177.
https://search.emarefa.net/detail/BIM-935434

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 176-177

Record ID

BIM-935434