On Extensional Fuzzy Sets Generated by Factoraggregation

Our paper deals with constructions of upper and lower general aggregation operators which act on fuzzy sets. These constructions are based on fuzzy rough sets and provide two approximations (upper and lower) of the pointwise extension and the t-extension of an ordinary aggregation operator. Considering two lattices of corresponding general aggregation operators we describe two approximate systems with respect to a lattice of fuzzy equivalence relations.

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“…, μ n ∈ F (X). This concept was introduced and studied by the authors in [15], [16]. It is shown that conditions (1), (2) and ( (μ 1 , .…”

Section: A Approximations Of General Aggregation Operatorãmentioning

confidence: 97%

Upper and lower approximations of general aggregation operators based on fuzzy rough sets

Asmuss

Orlovs

2015

2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)

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“…The concept of upper and lower general aggregation operators was introduced and studied in the context of extensional fuzzy sets in our previous works [15,16].…”

Section: − → T Be Upper and Lower General Aggregation Operators Thenmentioning

confidence: 99%

“…In this paper we develop the concept of upper and lower general aggregation operators with respect to a fuzzy equivalence relation E. This concept was introduced by the authors in [15,16]. Now we are focusing on different properties of these aggregation operators, which allows us to enrich existing framework.…”

Section: Introductionmentioning

confidence: 99%

On some properties of general aggregation operators based on a fuzzy equivalence relation

Orlovs¹,

Asmuss²

2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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Our paper deals with constructions of upper and lower general aggregation operators, which are based in their definitions on a fuzzy equivalence relation. We study some properties of these aggregation operators which are important in the context of aggregation of fuzzy sets. In particular we consider different types of monotonicity and show that obtained results allow us to describe approximate system based on the constructed operators.

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General L-fuzzy aggregation functions based on complete residuated lattices

Dan

Qiao

2020

Soft Comput

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On Extensional Fuzzy Sets Generated by Factoraggregation

Cited by 4 publications

References 9 publications

Upper and lower approximations of general aggregation operators based on fuzzy rough sets

Upper and lower approximations of general aggregation operators based on fuzzy rough sets

On some properties of general aggregation operators based on a fuzzy equivalence relation

General L-fuzzy aggregation functions based on complete residuated lattices

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