Introducing and solving the hesitant fuzzy system AX = B

• Autorzy: Babakordi Fatemeh , Allahviranloo Tofigh

Identyfikatory

DOI

10.2478/candc-2021-0031

• Języki publikacji: EN

Abstrakty

EN

In this paper the solution for hesitant fuzzy system as AX = B is introduced where A is an n×n known hesitant fuzzy matrix, B is an n×1 known hesitant fuzzy vector and X is an n×1 unknown hesitant fuzzy vector. First, L_∞-norm and L₁-norm of a hesitant fuzzy vector are introduced. Then, the concepts of hesitant fuzzy zero, ’almost equal’ and ’less than’ and ’equal’ are defined for two hesitant fuzzy numbers. Finally, using a minimization problem; the hesitant fuzzy system is solved. At the end, some numerical examples are presented to show the effectiveness of the proposed method.

Słowa kluczowe

EN

L∞-norm; L1-norm; hesitant fuzzy number; hesitant fuzzy system; minimization problem

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2021
• Tom: Vol. 50, No. 4
• Strony: 553--574
• Opis fizyczny: Bibliogr. 25 poz., rys.

Twórcy

autor

Babakordi Fatemeh

• Department of Mathematics and Statistics, Gonbad Kavous University, Gonbad Kavous, Iran

autor

Allahviranloo Tofigh

• Faculty of Engineering and Natural Science, Istinye University, Istanbul, Turkey

Bibliografia

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