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Fuzzy Forcing Set on Fuzzy Graphs | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 3، دوره 8، شماره 1، فروردین 2019، صفحه 23-35 اصل مقاله (327.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2019.13235.1077 | ||
| نویسندگان | ||
| Layia Aliahmadipour1؛ Saeedeh Rashidi* 2 | ||
| 1Shahid Bahonar University of Kerman | ||
| 2Shahid Bahonar Univercity of Kerman | ||
| چکیده | ||
| The investigation of impact of fuzzy sets on zero forcing set is the main aim of this paper. According to this, results lead us to a new concept which we introduce it as Fuzzy Zero Forcing Set (FZFS). We propose this concept and suggest a polynomial time algorithm to construct FZFS. Further more we compute the propagation time of FZFS on fuzzy graphs. This concept can be more efficient to model opinion formation problem and independent cascade models in social networks. Some examples are provided to illustrate constructing FZFS on special fuzzy graphs. Also, we utilize the FZFS in a social network to model opinion formation problem. | ||
| کلیدواژهها | ||
| Zero forcing set؛ fuzzy graph؛ fuzzy zero forcing set | ||
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آمار تعداد مشاهده مقاله: 187 تعداد دریافت فایل اصل مقاله: 327 |
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