Novel Derivations and Application of Complex LR Numbers on Fully Fuzzy Complex Linear System

被引：0
|
作者：
Dutta, Anushree [1 ]
Pramanik, Sutapa [2 ]
Jana, Dipak Kumar [3 ]
机构：
[1] BP Poddar Inst Management & Technol, Dept BCA, Saltlake Campus, Kolkata 700091, W Bengal, India
[2] Deulia Balika Vidyamandir, Kolaghat 721154, W Bengal, India
[3] Haldia Inst Technol, Dept Appl Sci, Haldia Purba Midnapur 721657, W Bengal, India
来源：
RECENT ADVANCES IN INTELLIGENT INFORMATION SYSTEMS AND APPLIED MATHEMATICS | 2020年 / 863卷
关键词：
LR fuzzy number; Fuzzy system of linear equations; Fuzzy complex number; Fuzzy complex system of linear equations; Fully fuzzy complex system of linear equations;
D O I：
10.1007/978-3-030-34152-7_3
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a fully fuzzy complex system of linear equations of the form (A) over tilde(X) over tilde = (B) over tilde is presented, where (A) over tilde is an LR fuzzy complex matrix, (X) over tilde is an unknown LR fuzzy complex vector and (B) over tilde is a known LR fuzzy complex vector. The definition of its fuzzy complex solution is proposed and discussion on a direct solution method of the fully fuzzy complex system of equation is discussed. Conditions on existence and uniqueness of fuzzy complex solution have been investigated. Numerical examples are presented to justify the applicability of the proposed method.
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页码：30 / 42
页数：13
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