In this paper, we firstly discuss the basic properties of the sub differential of fuzzy mapping and get some related conclusions. Secondly, we establish a variational principle of fuzzy mapping by establishing the concept of gauge fuzzy mapping. Then we prove the approximation sun rule of fuzzy mapping in sub-differential as the application of that principles.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 5, Issue 4) |
| DOI | 10.11648/j.sjams.20170504.13 |
| Page(s) | 139-146 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Fuzzy Mapping, Sub-differential, Gauge Mapping, Variational Principle, Approximation Sun Rule
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APA Style
Yu-E Bao, Ying-Chun Niu, Yuan Li. (2017). Variational Principles of Fuzzy Mappings and Its Applications. Science Journal of Applied Mathematics and Statistics, 5(4), 139-146. https://doi.org/10.11648/j.sjams.20170504.13
ACS Style
Yu-E Bao; Ying-Chun Niu; Yuan Li. Variational Principles of Fuzzy Mappings and Its Applications. Sci. J. Appl. Math. Stat. 2017, 5(4), 139-146. doi: 10.11648/j.sjams.20170504.13
AMA Style
Yu-E Bao, Ying-Chun Niu, Yuan Li. Variational Principles of Fuzzy Mappings and Its Applications. Sci J Appl Math Stat. 2017;5(4):139-146. doi: 10.11648/j.sjams.20170504.13
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Download@article{10.11648/j.sjams.20170504.13,
author = {Yu-E Bao and Ying-Chun Niu and Yuan Li},
title = {Variational Principles of Fuzzy Mappings and Its Applications},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {5},
number = {4},
pages = {139-146},
doi = {10.11648/j.sjams.20170504.13},
url = {https://doi.org/10.11648/j.sjams.20170504.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20170504.13},
abstract = {In this paper, we firstly discuss the basic properties of the sub differential of fuzzy mapping and get some related conclusions. Secondly, we establish a variational principle of fuzzy mapping by establishing the concept of gauge fuzzy mapping. Then we prove the approximation sun rule of fuzzy mapping in sub-differential as the application of that principles.},
year = {2017}
}
TY - JOUR T1 - Variational Principles of Fuzzy Mappings and Its Applications AU - Yu-E Bao AU - Ying-Chun Niu AU - Yuan Li Y1 - 2017/07/19 PY - 2017 N1 - https://doi.org/10.11648/j.sjams.20170504.13 DO - 10.11648/j.sjams.20170504.13 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 139 EP - 146 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20170504.13 AB - In this paper, we firstly discuss the basic properties of the sub differential of fuzzy mapping and get some related conclusions. Secondly, we establish a variational principle of fuzzy mapping by establishing the concept of gauge fuzzy mapping. Then we prove the approximation sun rule of fuzzy mapping in sub-differential as the application of that principles. VL - 5 IS - 4 ER -
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