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

Authors:
Andrea Mesiarová-Zemánková;Khurshid Ahmad
Affiliations:
-;-
Venue:
Fuzzy Sets and Systems
Year:
2014

Citing 7
Cited 0

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
An introduction to bipolar representations of information and preference

International Journal of Intelligent Systems
An overview of the asymmetric bipolar representation of positive and negative information in possibility theory

Fuzzy Sets and Systems
Aggregation Functions: A Guide for Practitioners

Aggregation Functions: A Guide for Practitioners
The balancing Choquet integral

Fuzzy Sets and Systems
Bipolar aggregation using the Uninorms

Fuzzy Optimization and Decision Making
Multi-polar Choquet integral

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper we introduce extended multi-polarity and discuss its relation to classification problems. We show a connection between extended multi-polarity and multi-polarity; and we define extended multi-polar aggregation operators. We also generalize the notion of bipolar-valued fuzzy sets into multi-polar-valued fuzzy sets and show their link to extended multi-polarity. Further we show that the same link is present between reduced form of multi-polar (bipolar)-valued fuzzy sets and multi-polar aggregation (bipolar aggregation). Several examples are also given including extended multi-polar t-norms.