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Generalized attitudinal Choquet integral
Author(s) -
Aggarwal Manish
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22074
Subject(s) - mathematics , choquet integral , quadratic equation , operator (biology) , character (mathematics) , representation (politics) , pure mathematics , algebra over a field , mathematical economics , artificial intelligence , computer science , fuzzy logic , biochemistry , chemistry , geometry , repressor , politics , transcription factor , political science , law , gene
Abstract Attitudinal Choquet integral (ACI) extends Choquet integral (CI) through a consideration of a decision‐maker's (DM's) attitudinal character. In this paper, we generalize ACI, and the resulting operator is termed as generalized ACI (GACI). GACI adds to the efficacy of the ACI in the representation of a DM's unique and complex attitudinal character. It also generates a vast range of exponential ACI operators, such as harmonic ACI, ACI, quadratic ACI, to name a few. We further present induced GACI to consider additional information that may be associated with the arguments of aggregation. The special cases of the proposed operators are investigated. The usefulness of the proposed operators in modelling human decision behavior is shown through a case study.