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http://dx.doi.org/10.14317/jami.2022.1043

COMPLETE HAMACHER FUZZY GRAPHS  

AL-HAWARY, TALAL ALI (Department of Mathematics, Yarmouk University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.5_6, 2022 , pp. 1043-1052 More about this Journal
Abstract
Our goal in this paper is to propose the advancement proposed by Alsina, Klement and other researchers in the area of fuzzy logic applied to the area of fuzzy graph theory. We introduce the notion of complete Hamacher fuzzy graphs and the notion of balanced Hamacher fuzzy graphs and discuss their properties. Moreover, several operations on these fuzzy graphs are explored via the complete notion.
Keywords
Hamacher fuzzy graph; complete fuzzy graph; strong fuzzy graph;
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1 T. Al-Hawary, Operations on Greedoids, Mathematica 64(87) (2022), 3-8.   DOI
2 T. Al-Hawary, Complete fuzzy graphs, Inter. J. Math. Cobin. 4 (2011), 26-34.
3 M. Akram, D. Saleem and T. Al-Hawary, Spherical fuzzy graphs with application to decisionmaking, Math. and Comp. Appl. 25 (2020), 1-32.
4 T. Al-Hawary and B. Horani, On product fuzzy graphs, Annals of fuzzy math. and Inform. 12 (2016), 279-294.
5 T. Al-Hawary, Fuzzy flats, Indian J. Math. 55 (2013), 223-236.
6 M.S. Sunitha, Complement of a fuzzy graph, Indian J. Pure. Appl. Math. 33 (2002), 1451-1464.
7 T. Al-Hawary, S. Al-Shalaldeh and M. Akram, Certain Matrices and Energies of Fuzzy Graphs, TWMS J. App. Eng. Math. 11 (2022), 1-17.
8 T. Al-Hawary, Hamacher fuzzy graphs, to appear in Graphs and Combinatorics.
9 T. Al-Hawary, Density Results for Perfectly Regular and Perfectly Edge-regular Fuzzy Graphs, to appear in J. Disc. Math. Sci. & Cryptography.
10 T. Al-Hawary and B. Horani, On Intuitionistic Product Fuzzy Graphs, Ital. J. Pure. Appl. Math. 38 (2017), 113-126.
11 S. Ashraf, S. Naz and H. Rashmanlou et al, Regularity of graphs in single Valued neutrosophic environment, J. Intell. Fuzzy Syst. 33 (2017), 529-542.   DOI
12 J. Hamacher, A General class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators, Fuzzy Sets Syst. 8 (1982), 149-163.   DOI
13 J.N. Mordeson and C.S. Peng, Operations on fuzzy graphs, Inf. Sci. 79 (1994), 159-170.   DOI
14 B. Schweizer and A. Sklar, Probabilistic metric spaces, North-Holland, Amsterdam, 1983.
15 C. Alsina, E. Trillas and L. Valverde, On some logical connectives for fuzzy sets theory, J. Math. Anal. Appl. 93 (1983), 15-26.   DOI
16 P. Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Lett. 6 (1987), 297-302.   DOI
17 K.R. Bhutani and A. Battou, On M-strong fuzzy graphs, Inf. Sci. 155 (2003), 103-109.   DOI
18 K. Menger, Statistical metrics, Proc. Natl. Acad. Sci. 28 (1942), 535-537.   DOI
19 A. Rosenfeld, Fuzzy graphs, Fuzzy sets and their applications, Academic Press, New York, 1975.
20 H. Hamacher, Uber logische Verknupfungen unscharfer Aussagen und deren Augehorige Bewertungsfunctionen, Progress in cybernetics and systems research, 3 Hemisphere, Washington, D.C. 1978.