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Sains Malaysiana 48(12)(2019): 2767–2776 http://dx.doi.org/10.17576/jsm-2019-4812-18
R-Fuzzy Sets
in Factor Space (Set Kabur R dalam Ruang Faktor) Siyuan Liu1,2, honghai Mi2 &
tsangcheung choy1* 1Faculty of Information
Technology, Macau University of Science and Technology 999078,
Macau, China 2School of Applied
Mathematics, Beijing Normal University, 519000, Zhuhai, China Received:
21 February 2019/ Accepted: 23 December 2019 Abstract 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. Keywords: Envelope of feedback extension; factor space; feedback extension; representation
extension; R-Fuzzy
set Abstrak Set kabur nilai selang, kedua-dua
cabang set kabur
dan set kabur kabur
R
adalah tiga bentuk lanjutan
daripada set kabur
biasa. Berbanding dengan set kabur tradisi, set kabur nilai selang mempunyai
lebih keupayaan
untuk menunjukkan ketidakpastian kerana ia menyediakan lebih banyak pilihan
untuk gambaran
atribut. Penggunaan kedua-dua cabang set kabur telah menyelesaikan
beberapa masalah
dalam keputusan kejuruteraan dan kawalan kejuruteraan. Untuk set kabur
R,
satu sistem
kabur baru dibina,
dengan kedua-dua
cabang set kabur dijadikan sebagai kes khas. Teorem
yang terhasil meningkatkan
kelenturan model sistem yang tidak menentu dan
mengembangkan pelbagai
aplikasi sistem kabur juga. Kata kunci: Perluasan maklum balas; perwakilan
maklum balas;
ruang faktor; sampul
perluasan maklum
balas; set kabur
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