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2016•Unpublished venueRequires access

On distributivity of semi-t-operators over semi-nullnorms

Dragan Jočić, Ivana Štajner-Papuga

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Abstract

The problem of distributivity for different classes of aggregation operators is a topic that is currently being investigated by a significant number of researchers. The main issue of this paper is the characterization of all pairs of aggregation operators (G, H) where G is a semi-t-operator which is left or right distributive over semi-nullnorm H. The presented results also contain some previous research concerning distributivity of semi-t-operators over semi-nullnorm as the special case.

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What this paper is about

The problem of distributivity for different classes of aggregation operators is a topic that is currently being investigated by a significant number of researchers. The main issue of this paper is the characterization of all pairs of aggregation operators (G, H) where G is a semi-t-operator which is left or right distributive over semi-nullnorm H. The presented results also contain some previous research concerning distributivity of semi-t-operators over semi-nullnorm as the special case.

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Available abstract

The problem of distributivity for different classes of aggregation operators is a topic that is currently being investigated by a significant number of researchers. The main issue of this paper is the characterization of all pairs of aggregation operators (G, H) where G is a semi-t-operator which is left or right distributive over semi-nullnorm H. The presented results also contain some previous research concerning distributivity of semi-t-operators over semi-nullnorm as the special case.

Key concepts: Distributivity, Distributive property, Characterization (materials science), Operator (biology), Mathematics, Pure mathematics, Operator theory, Algebra over a field

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