Multi-polar Choquet integral

Authors:
Andrea Mesiarová-ZemáNková;Khurshid Ahmad
Affiliations:
Department of Computer Science, Trinity College Dublin, Ireland;Department of Computer Science, Trinity College Dublin, Ireland
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 10
Cited 1

An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure

Fuzzy Sets and Systems
Fuzzy integral in multicriteria decision making

Fuzzy Sets and Systems - Special issue on fuzzy information processing
Aggregation operators: properties, classes and construction methods

Aggregation operators
Yin Yang bipolar logic and bipolar fuzzy logic

Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Informatics and computer science intelligent systems applications
Evaluating classification performances of single-layer perceptron with a Choquet fuzzy integral-based neuron

Expert Systems with Applications: An International Journal
Aggregation Functions: A Guide for Practitioners

Aggregation Functions: A Guide for Practitioners
The balancing Choquet integral

Fuzzy Sets and Systems
The optimality of non-additive approaches for portfolio selection

Expert Systems with Applications: An International Journal
Bipolar aggregation using the Uninorms

Fuzzy Optimization and Decision Making
Aggregating multiple classification results using Choquet integral for financial distress early warning

Expert Systems with Applications: An International Journal

Extended multi-polarity and multi-polar-valued fuzzy sets

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

The choice of a bipolar scale in decision making relates to an ideal situation where positive and negative evaluations reflect a decision maker's choice on a binary scale. However, decision making space is essentially an interval comprising extended scales, e.g., three point scale where there can be decisions about gains, losses and a neutral stance by the decision maker for not risking anything. Work in affect analysis shows that textual information can serve as one source for estimation of risk related with stock investment. Based on aggregation of several components of text belonging to different categories the overall category of textual information can be obtained and related to a risk position at any given time point. We explore the notion of multi-polarity in decision making by extending the notion of bipolar Choquet integrals to multi-polar Choquet integrals. We introduce extensions of basic bipolar Choquet integrals, the balancing Choquet integral and the Choquet integral with respect to a bi-capacity.