casa 19(18): e5

Research Article

Toward Combining Fuzzy Graphs Based on Hedge Algebra

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  • @ARTICLE{10.4108/eai.20-8-2019.162801,
        author={Nguyen Van Han and Nguyen Cong Hao and Phan Cong Vinh},
        title={Toward Combining Fuzzy Graphs Based on Hedge Algebra},
        journal={EAI Endorsed Transactions on Context-aware Systems and Applications},
        keywords={Fuzzy logic, Linguistic variable, Hedge algebra, Fuzzy combining},
  • Nguyen Van Han
    Nguyen Cong Hao
    Phan Cong Vinh
    Year: 2019
    Toward Combining Fuzzy Graphs Based on Hedge Algebra
    DOI: 10.4108/eai.20-8-2019.162801
Nguyen Van Han1,2,*, Nguyen Cong Hao3, Phan Cong Vinh4
  • 1: Faculty of Information Technology, College of Science, Hue University. 77 Nguyen Hue street, Phu Nhuan ward, Hue city, Vietnam
  • 2: Ho Chi Minh City Industry And Trade College. 20 Tang Nhon Phu street, Phuoc Long B Ward, District 9, Ho Chi Minh city, Vietnam
  • 3: Department of Inspection and Legislation, Hue University. 04 Le Loi street, Hue city, Vietnam
  • 4: Faculty of Information Technology, Nguyen Tat Thanh University. 300A Nguyen Tat Thanh street, Ward 13, District 4, Ho Chi Minh city, Vietnam
*Contact email:


In this paper, we study fuzzy graph properties with combinatorial matrix theory in fuzzy linguistic matrix. We use hedge algebra and linguistic variables for combining and reasoning with words. We figure out theorem of limiting in matrix space. We also discover limit space states of fuzzy graph with a fundamental theorem. This is the important theorem to decide whether automata are finite or not.