Aggregation functions on bounded lattices

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Atıf İçin Kopyala

KARAÇAL F., Mesiar R.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.46, sa.1, ss.37-51, 2017 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 46 Sayı: 1
• Basım Tarihi: 2017
• Doi Numarası: 10.1080/03081079.2017.1291634
• Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.37-51
• Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.