اخبار و اعلانات
آمار
| تعداد نشریات | 27 |
| تعداد شماره‌ها | 566 |
| تعداد مقالات | 5,825 |
| تعداد مشاهده مقاله | 8,162,065 |
| تعداد دریافت فایل اصل مقاله | 5,460,768 |
CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 14، شماره 4، آبان 2017، صفحه 27-50 اصل مقاله (544.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3324 | ||
| نویسندگان | ||
Muhammad Akram 1؛ Neha Waseem1؛ Wieslaw A. Dudek  2
| ||
| 1Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan | ||
| 2Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland | ||
| چکیده | ||
| In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. We discuss the relationship between degree of a vertex and degree of an edge in an $m-$polar fuzzy graph. We investigate edge irregularity on a path on $2n$ vertices and barbell graph $B_{n,n}.$ We also present an application of $m-$polar fuzzy graph to decision making. | ||
| کلیدواژه‌ها | ||
| Barbell graph؛ $m-$polar fuzzy sets؛ $m-$polar fuzzy graphs؛ Strongly edge totally irregular $m-$polar fuzzy graphs؛ Decision making | ||
| مراجع | ||
|
[1] M. Akram, Bipolar fuzzy graphs, Information Sciences, 181 (2011), 5548-5564. [2] M. Akram and A. Adeel, m-polar fuzzy labeling graphs with application, Math. Computer Sci., 10 (2016), 387-402. [3] M. Akram and W. A. Dudek, Regular bipolar fuzzy graphs, Neural Computing & Applications, 21 (2012), 197-205. [4] M. Akram and H. R. Younas, Certain types of irregular m-polar fuzzy graphs, J. Appl. Math. Computing, 53(1) (2017), 365-382. [5] M. Akram and N. Waseem, Certain metrics in m-polar fuzzy graphs, New Math. Natural Computation, 12 (2016), 135-155. [6] P. Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Letter, 6 (1987), 297- 302. [7] J. Chen, S. G. Li, S. Ma and X. Wang, m-polar fuzzy sets, The Scienti c World Journal, Article ID 416530, 2014 (2014), 8 pages. [8] A. Kau man, Introduction to la Theorie des Sous-emsembles Flous, Masson et Cie, 1 (1973). [9] S. Mathew and M. S. Sunitha, Types of arcs in a fuzzy graph, Information Sciences, 179 (2009), 1760-1768. [10] N. R. S. Maheswari and C. Sekar, On strongly edge irregular fuzzy graphs, Kragujevac J. Math., 40 (2016), 125-135. [11] J. N. Mordeson and P. S. Nair, Fuzzy graphs and fuzzy hypergraphs, Physica Verlag, Heidel- berg, 2nd Edition, 2001. [12] S. P. Nandhini and E. Nandhini, Strongly irregular fuzzy graphs, Internat. J. Math. Archive, 5 (2014), 110-114. [13] A. Nagoorgani and K. Radha, Regular property of fuzzy graphs, Bull. Pure Appl. Sci., 27E (2008), 411-419. [14] K. Radha and N. Kumaravel, On edge regular fuzzy graphs, Internat. J. Math. Archive, 5(9) (2014), 100-112. [15] A. Rosenfeld, Fuzzy graphs, Fuzzy Sets and Their Applications, Academic Press, New York, (1975), 77-95. [16] P. K. Singh and Ch. A. Kumar, Bipolar fuzzy graph representation of concept lattice, Infor- mation Sciences, 288 (2014), 437-448. [17] H. L. Yang, S. G. Li, W. H. Yang and Y. Lu, Notes on bipolar fuzzy graphs, Information Sciences, 242 (2013), 113-121. [18] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. [19] L. A. Zadeh, Similarity relations and fuzzy orderings, Information Sciences, 3 (1971), 177- 200. [20] W. R. Zhang, Bipolar fuzzy sets and relations: a computational framework forcognitive mod- eling and multiagent decision analysis, Proc. of IEEE conf., (1994), 305-309. | ||
|
آمار تعداد مشاهده مقاله: 1,089 تعداد دریافت فایل اصل مقاله: 913 |
||
