ORDERING METHODS OF C-CONTROL CHARTS WITH INTERVAL TYPE-2 INTUITIONISTIC FUZZY SETS

Yıl 2020, Cilt: 3 Sayı: 1, 94 - 102, 31.01.2020

Sibel Demiralp Gülnur Haçat

https://doi.org/10.33773/jum.679853

Cited By: 2

Öz

The control charts are important because it provides information about the process and the state of control of the product. With this feature,
control charts are used in many areas. Intuitionistic fuzzy sets and interval valued intuitionistic fuzzy sets are useful to modelling of the real world problems. Ordering of the fuzzy numbers is investigated by a lot of scientists and it is generalised to intuitionistic fuzzy sets because of applicability. Ordering
interval-valued type-2 intuitionistic fuzzy sets is significant in making decision, data analysis and artificial intelligence since interval analysis is required. In this
study a new method to ordering interval-valued type-2 intuitionistic fuzzy sets is defined and numerical methods are compared to other methods.

Anahtar Kelimeler

Interval type-2 intuitionistic fuzzy sets, Fuzzy control charts, c-Control charts, ordering methods

Kaynakça

• C.H. Cheng, A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems 95, 307-317, 1998.
• K. Atanassov, Intuitionistic sets, VII ITKR's Sofia, June, 1983.
• K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and systems 20,1986.
• K. Atanassov and G.Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Sytems 31(3),343-349,1989.
• K. Atanassov, Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Sytems 64(2),159-174,1994.
• S. Chen, "Ranking fuzzy numbers with maximizing set and minimizing set". Fuzzy Sets and Systems,17,113-129,1985.
• S.Senturk and J.Antucheviciene,Interval type-2 fuzzy c-control charts: An application in a food company.Informatica,28(2),269-283,2017.
• L. A. Zadeh, Fuzzy sets. Information and Control, 8(3),338-356, 1965.
• Z. S.Xu, Intuitionistic fuzzy aggregation operators IEEE Transactions on Fuzzy Systems,15(6),1179-1187, 2007.
• H. B. Mitchell, Ranking intuitionistic fuzzy numbers. International Journal of Uncertainty, Fuzziness and Knowledge Based Systems, 12(3), 377-386, 2004.
• L. Nayagam, V. Venkateshwari, and G. Sivaraman, Ranking of intuitionistic fuzzy numbers. In Proceedings of the IEEE international conference on fuzzy systems (IEEE FUZZY 2008), 1971-1974.