Constructing conjunctive left (right) semi-uninorms and implications satisfying the neutrality principle
| Autor: | Zhudeng Wang, Meixia Niu, Xiaoying Hao, Yuan Wang |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Discrete mathematics 0209 industrial biotechnology Pure mathematics General Engineering 02 engineering and technology Lower approximation 020901 industrial engineering & automation Artificial Intelligence Binary operation Lattice (order) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Upper approximation Mathematics |
| Zdroj: | Journal of Intelligent & Fuzzy Systems. 31:1819-1829 |
| ISSN: | 1875-8967 1064-1246 |
| DOI: | 10.3233/jifs-15531 |
| Popis: | In this paper, we further investigate the constructions of implications and left (right) semi-uninorms on a com- plete lattice. We firstly give out the formulas for calculating the upper and lower approximation conjunctive left (right) semi-uninorms of a binary operation. Then, we derive the formulas for calculating the upper and lower approximation NP implications of a binary operation. Finally, we show that the right (left) residuum of the upper approximation conjunctive right (left) infinitely ∨-distributive left (right) semi-uninorm of a right (left) infinitely ∨-distributive binary operation is the lower approximation right infinitely ∧-distributive NP implication of the right (left) residuum of the binary operation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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