R- Fuzzy sets in factor space

Interval-valued fuzzy sets, both-branch fuzzy sets and R-Fuzzy sets are three extended forms of ordinary fuzzy sets. Compared to traditional fuzzy sets, interval-valued fuzzy sets have a stronger ability to express uncertainty because they provide more choices for the descriptions of attributes. Usi...

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Bibliographic Details
Main Authors: Liu, Siyuan, Mi, Honghai, Choy, Tsangcheung
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/14465/
http://journalarticle.ukm.my/14465/1/18%20Siyuan%20Liu.pdf
Description
Summary:Interval-valued fuzzy sets, both-branch fuzzy sets and R-Fuzzy sets are three extended forms of ordinary fuzzy sets. Compared to traditional fuzzy sets, interval-valued fuzzy sets have a stronger ability to express uncertainty because they provide more choices for the descriptions of attributes. Using both-branch fuzzy sets has solved some problems in engineering decision and engineering control. For R-Fuzzy sets, a new fuzzy system is constructed, with both-branch fuzzy sets as a special case. The resulting theorems improve the flexibility of uncertainty system models and expand the range of fuzzy system applications as well.