The Alternative Representation of the Bipolar Sugeno Integral

Abbas, Jabbar; Jafari, Hossein

doi:10.30684/etj.2022.135012.1256

	The Alternative Representation of the Bipolar Sugeno Integral
Engineering and Technology Journal
Article 5, Volume 40, Issue 10, October 2022, Pages 1318-1324 PDF (426.38 K)
Document Type: Research Paper
DOI: 10.30684/etj.2022.135012.1256
Authors
Jabbar Abbas^* ¹; Hossein Jafari²
¹Department of Applied Sciences, University of Technology, Baghdad, Iraq
²Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa
Abstract
In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years. One of these integrals is the Sugeno integral concerning aggregation on bipolar scales. The paper aims to build an equivalent representation of the bipolar Sugeno integral. Therefore, we first employ in this paper the framework based on a ternary-criterion set for proposing an alternative formula of the bipolar Sugeno integral to be suitable for bipolar scales. Then, we discuss some basic properties and give an illustrative example of this representation. This representation is consistent as an extension of the representation concerning the classical capacities and aggregation on the Sugeno integral unipolar scales.
Highlights
An alternative representation of the bipolar Sugeno integral was proposed to be suitable for bipolar scales. Study the main properties of this integral. This representation is consistent as a generalization of the expression concerning the classical Sugeno integral.
Keywords
Bi-capacities; Decision support systems; Fuzzy integrals; Bipolar Sugeno integral

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