Properties of fuzzy relations and aggregation process in decision making

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Bentkowska U.

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:3 Page(s): 1-15

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Title

Properties of fuzzy relations and aggregation process in decision making

Author(s)

Bentkowska U. | Issue Writer Certificate

Keywords

Fuzzy relationQ2

Aggregation functionQ2

Decision makingQ2

Abstract

In this contribution connections between input Fuzzy relations R1, . . ., Rn on a set X and the output Fuzzy relation RF = F(R1, . . ., Rn) are studied. F is a function of the form F: [0, 1]n → [0, 1] and RF is called an aggregated Fuzzy relation. In the literature the problem of preservation, by a function F, diverse types of properties of Fuzzy relations R1, . . ., Rn is examined. Here, it is considered the converse approach. Namely, Fuzzy relation RF = F(R1, . . ., Rn) is assumed to have a given property and then it is checked if Fuzzy relations R1, . . ., Rn have this property. Moreover, a discussion on the mentioned two approaches is provided. The properties, which are examined in this paper, depend on their notions on binary operations B: [0, 1]2 → [0, 1]. By incorporating operation B these properties are generalized versions of known properties of Fuzzy relations.

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APA: Copy

. (2019). Properties of fuzzy relations and aggregation process in decision making. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(3 ), 1-15. SID. https://sid.ir/paper/113312/en

Vancouver: Copy

. Properties of fuzzy relations and aggregation process in decision making. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(3 ):1-15. Available from: https://sid.ir/paper/113312/en

IEEE: Copy

, “Properties of fuzzy relations and aggregation process in decision making,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 3 , pp. 1–15, 2019, [Online]. Available: https://sid.ir/paper/113312/en

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