New Ranking of Generalized Quadrilateral Shape Fuzzy Number Using Centroid Technique

被引:1
作者
Thiruppathi, A. [1 ]
Kirubhashankar, C. K. [1 ]
机构
[1] Sathyabama Inst Sci & Technol, Dept Math, Chennai 600119, Tamilnadu, India
关键词
Fuzzy numbers; quadrilateral fuzzy number; ranking methods; fuzzy risk analysis; DIFFERENT LEFT HEIGHTS;
D O I
10.32604/iasc.2023.033870
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The output of the fuzzy set is reduced by one for the defuzzification procedure. It is employed to provide a comprehensible outcome from a fuzzy inference process. This page provides further information about the defuzzifica-tion approach for quadrilateral fuzzy numbers, which may be used to convert them into discrete values. Defuzzification demonstrates how useful fuzzy ranking systems can be. Our major purpose is to develop a new ranking method for gen-eralized quadrilateral fuzzy numbers. The primary objective of the research is to provide a novel approach to the accurate evaluation of various kinds of fuzzy inte-gers. Fuzzy ranking properties are examined. Using the counterexamples of Lee and Chen demonstrates the fallacy of the ranking technique. So, a new approach has been developed for dealing with fuzzy risk analysis, risk management, indus-trial engineering and optimization, medicine, and artificial intelligence problems: the generalized quadrilateral form fuzzy number utilizing centroid methodology. As you can see, the aforementioned scenarios are all amenable to the solution pro-vided by the generalized quadrilateral shape fuzzy number utilizing centroid methodology. It's laid out in a straightforward manner that's easy to grasp for everyone. The rating method is explained in detail, along with numerical exam-ples to illustrate it. Last but not least, stability evaluations clarify why the Gener-alized quadrilateral shape fuzzy number obtained by the centroid methodology outperforms other ranking methods.
引用
收藏
页码:2253 / 2266
页数:14
相关论文
共 22 条
[1]  
Barazandeh Y, 2021, IRAN J FUZZY SYST, V18, P81
[2]   Fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights [J].
Chen, Shyi-Ming ;
Munif, Abdul ;
Chen, Guey-Shya ;
Liu, Hsiang-Chuan ;
Kuo, Bor-Chen .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (07) :6320-6334
[3]  
Dinagar DS, 2020, ADV APPL MATH SCI, V19, P1143
[4]   OPERATIONS ON FUZZY NUMBERS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (06) :613-626
[5]  
Hajjari T, 2015, IRAN J FUZZY SYST, V12, P17
[6]  
JAIN R, 1976, IEEE T SYST MAN CYB, V6, P698
[7]   An improved method to rank generalized fuzzy numbers with different left heights and right heights [J].
Jiang, Wen ;
Luo, Yu ;
Qin, Xi-Yun ;
Zhan, Jun .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (05) :2343-2355
[8]   Fuzzy risk analysis based on fuzzy numbers with different shapes and different deviations [J].
Lee, Li-Wei ;
Chen, Shyi-Ming .
EXPERT SYSTEMS WITH APPLICATIONS, 2008, 34 (04) :2763-2771
[9]  
Mizumoto M., 1976, SYSTEM CUMPUT CONTRO, V7, P73
[10]  
Mizumoto M., 1979, Advanced in Fuzzy Set Theory and Applications, chapter Some properties of fuzzy numbers, P153