Journal
FUZZY SETS AND SYSTEMS
Volume 234, Issue -, Pages 61-78Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2013.03.018
Keywords
Multi-polar aggregation operator; Classification; Bipolar-valued fuzzy set; Bipolar t-norm; t-Norm
Funding
- AXA Research Fund
- Enterprise Ireland [CC-2011-2601B: GRCTC]
- VEGA [2/0059/12, APVV-0178-11]
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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. (C) 2013 Elsevier B.V. All rights reserved.
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