Vemuri, N R and Jayaram, Balasubramaniam
(2015)
PRESERVATION OF THE EXCHANGE PRINCIPLE UNDER LATTICE OPERATIONS ON FUZZY IMPLICATIONS.
In: 8th Internal Summer School on Aggregation Operators, 7–10 July 2015, Katowice, Poland.
Abstract
In this work, we solve an open problem related to the exchange principle of fuzzy implications [Problem 3.1, Fuzzy Sets and Systems 261(2015) 112-123]. We show that two important generalizations of the exchange principle, namely, the generalized exchange principle(GEP) and the mutual exchangeability(ME) are sufficient conditions for the solution of the problem. We also show that, under some conditions, these are necessary too. Finally, we investigate the pairs (I, J) from different families of fuzzy implications such that the exchange principle is preserved under the join and meet operations.
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| IITH Creators: |
| IITH Creators | ORCiD |
|---|
| Jayaram, Balasubramaniam | http://orcid.org/0000-0001-7370-3821 |
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| Item Type: |
Conference or Workshop Item
(Paper)
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| Subjects: |
Mathematics |
| Divisions: |
Department of Mathematics |
| Depositing User: |
Team Library
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| Date Deposited: |
30 Jul 2019 06:52 |
| Last Modified: |
30 Jul 2019 06:52 |
| URI: |
http://raiithold.iith.ac.in/id/eprint/5837 |
| Publisher URL: |
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| Related URLs: |
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