Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 46, Issue 1, Pages 37-51Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2017.1291634
Keywords
Aggregation; bounded lattice; lattice polynomial
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Funding
- Karadeniz Technical University
- Council of Higher Education of Turkey
- European Regional Development Fund in IT4 Innovations Centre of Excellence Project [CZ.1.05/1.1.00/02.0070]
- [VEGA 1/0420/15]
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In this paper, we show that the set An(L) of all n-ary aggregation functions on a complete lattice L is a complete lattice and we study some properties of this lattice. If L is a bounded lattice and n is a natural number such that n not equal 0, we obtain that Lm for m is an element of[n] can be embedded into the lattice An(L). We generate aggregation functions from monotone functions. We introduce the concept of internal product of aggregation functions. We give some examples of aggregation functions on bounded lattices.
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