Introducing and solving the hesitant fuzzy system AX = B

Q4 Engineering

Control and Cybernetics Pub Date : 2021-12-01 DOI:10.2478/candc-2021-0031

F. Babakordi, T. Allahviranloo

引用次数: 0

Abstract

Abstract 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.

查看原文本刊更多论文

引入并求解了犹豫不决模糊系统AX = B

摘要本文介绍了一类AX = B的犹豫模糊系统的解，其中A是一个n × n已知的犹豫模糊矩阵，B是一个n × 1已知的犹豫模糊向量，X是一个n × 1未知的犹豫模糊向量。首先，引入了犹豫模糊向量的L∞范数和l1范数。然后，对两个犹豫模糊数定义了犹豫模糊零、“几乎相等”、“小于”和“相等”的概念。最后，利用最小化问题;求解了模糊犹豫系统。最后，通过数值算例验证了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,