SOME COMPUTATIONS ON FUZZY MATRICES: AN APPLICATION IN FUZZY ANALYTICAL PROCESS

被引：6
|
作者：
Dehghan, Mehdi [1 ]
Ghatee, Mehdi [2 ]
Hashemi, Behnam [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
[2] Amirkabir Univ Technol, Dept Comp Sci, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2008年 / 16卷 / 05期
关键词：
Fuzzy matrix; LR fuzzy number; fuzzy arithmetic; fuzzy determinant; fuzzy norm; fuzzy eigenvalue;
D O I：
10.1142/S0218488508005583
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Fuzzy mathematics is a generalization in which fuzzy numbers replace real numbers and fuzzy arithmetic replaces real arithmetic. It is an excellent scope for modeling vague and uncertain aspects of the actual environments. In this important area, Dubois and Prade(1) defined a fuzzy matrix as a rectangular array of fuzzy numbers. They have also defined the LR type fuzzy numbers with some useful approximate arithmetic operators. The aim of this paper is to extend some useful aspects of linear algebra e.g. determinant, norm and eigenvalue for fuzzy matrices with LR fuzzy number entries by the use of fuzzy arithmetic. Finally, applications in fuzzy analytical hierarchy process (AHP) are investigated.
引用
收藏
页码：715 / 733
页数：19
相关论文
共 50 条
  • [31] Some Properties of Complex Fuzzy Process
    You, Cuilian
    Wang, Weiqing
    INTERNATIONAL CONFERENCE MACHINERY, ELECTRONICS AND CONTROL SIMULATION, 2014, 614 : 425 - 427
  • [32] Meta-type fuzzy computations and fuzzy complexity
    Farahani, Hadi
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (01) : 81 - 92
  • [33] Some Results on Interval-Valued Fuzzy Matrices
    Pal, Anita
    Pal, Madhumangal
    ELECTRONIC-BUSINESS INTELLIGENCE: FOR CORPORATE COMPETITIVE ADVANTAGES IN THE AGE OF EMERGING TECHNOLOGIES & GLOBALIZATION, 2010, 14 : 554 - +
  • [34] Some Results on Generalized Inverse of Intuitionistic Fuzzy Matrices
    Pradhan, R.
    Pal, M.
    FUZZY INFORMATION AND ENGINEERING, 2014, 6 (02) : 133 - 145
  • [35] Intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices and their application in decision-making
    Serdar Enginoǧlu
    Burak Arslan
    Computational and Applied Mathematics, 2020, 39
  • [36] Intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices and their application in decision-making
    Enginoglu, Serdar
    Arslan, Burak
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
  • [37] Strategies for controlling violence against health care workers: Application of fuzzy analytical hierarchy process and fuzzy additive ratio assessment
    Rajabi, Fazel
    Jahangiri, Mehdi
    Bagherifard, Farnaz
    Banaee, Sean
    Farhadi, Payam
    JOURNAL OF NURSING MANAGEMENT, 2020, 28 (04) : 777 - 786
  • [38] On fuzzy number calculus and some application
    Kosinski, Witold
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2006, PROCEEDINGS, 2006, 4029 : 250 - 259
  • [39] APPLICATION OF FUZZY CONTROL TO A MULTIVARIABLE PROCESS
    KUTSUWA, Y
    NISHITANI, H
    KUNUGITA, E
    KAGAKU KOGAKU RONBUNSHU, 1992, 18 (04) : 541 - 545
  • [40] Respiratory Protection Program Compliance in Iranian Hospitals: Application of Fuzzy Analytical Hierarchy Process
    Honarbakhsh, Marzieh
    Jahangiri, Mehdi
    Ghaem, Haleh
    Farhadi, Payam
    WORKPLACE HEALTH & SAFETY, 2018, 66 (04) : 173 - 182
12345