Scholarlink

<p>In this paper, we extend the concept of fuzzy matrices to define fuzzy tensors. Based on the T-product of real tensors, we propose the concept of fuzzy linear tensor systems (FLTS), where the coefficient tensor is a real tensor. We study a method for solving FLTS using the block representation of generalized inverses. By defining the T-core projection operator (T-CPO) inverse of real tensors and investigating its characteristics and properties, we establish a necessary and sufficient condition for the existence of solutions to FLTS. Furthermore, we propose an algorithm for obtaining general fuzzy solutions to FLTS using the T-CPO inverse. Finally, we provide three numerical examples and an economic application to demonstrate the effectiveness of the proposed method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Solving fuzzy linear tensor systems using a block representation of generalized inverses: the T-CPO inverse

  • 期刊论文

  • 发表日期：

    2025年8月4日

查看全文
  • Bingjie Shan,
  • Haifeng Ma

摘要

In this paper, we extend the concept of fuzzy matrices to define fuzzy tensors. Based on the T-product of real tensors, we propose the concept of fuzzy linear tensor systems (FLTS), where the coefficient tensor is a real tensor. We study a method for solving FLTS using the block representation of generalized inverses. By defining the T-core projection operator (T-CPO) inverse of real tensors and investigating its characteristics and properties, we establish a necessary and sufficient condition for the existence of solutions to FLTS. Furthermore, we propose an algorithm for obtaining general fuzzy solutions to FLTS using the T-CPO inverse. Finally, we provide three numerical examples and an economic application to demonstrate the effectiveness of the proposed method.