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 R

 

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*Corresponding author; email: double286@163.com

 

 

 

 

 

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