Resolution of a system of fuzzy polynomial equations using eigenvalue method
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| 024 | 7 | 0 | |a 10.1007/s00500-014-1249-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-014-1249-1 | ||
| 245 | 0 | 0 | |a Resolution of a system of fuzzy polynomial equations using eigenvalue method |h [Elektronische Daten] |c [Hamed Farahani, Sajjad Rahmany, Abdolali Basiri, Ali Abbasi Molai] |
| 520 | 3 | |a In this paper, a system of fuzzy polynomial equations is studied. Two solution types are defined for this system, called solution and $$r$$ r -cut solution. Then sufficient and necessary conditions are proposed for existence of solution and $$r$$ r -cut solution of the system, respectively. The solution set of the system is also determined. Moreover, a new algorithm is designed to find all the solutions and all the $$r$$ r -cut solutions of the system based on the eigenvalue method. Finally, some examples are given to illustrate the concepts and the algorithm. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Fuzzy numbers |2 nationallicence | |
| 690 | 7 | |a System of fuzzy polynomial equations |2 nationallicence | |
| 690 | 7 | |a Gröbner basis |2 nationallicence | |
| 690 | 7 | |a Real solution |2 nationallicence | |
| 690 | 7 | |a Eigenvalue method |2 nationallicence | |
| 700 | 1 | |a Farahani |D Hamed |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | |
| 700 | 1 | |a Rahmany |D Sajjad |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | |
| 700 | 1 | |a Basiri |D Abdolali |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | |
| 700 | 1 | |a Abbasi Molai |D Ali |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | |
| 773 | 0 | |t Soft Computing |d Springer Berlin Heidelberg |g 19/2(2015-02-01), 283-291 |x 1432-7643 |q 19:2<283 |1 2015 |2 19 |o 500 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00500-014-1249-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00500-014-1249-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Farahani |D Hamed |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Rahmany |D Sajjad |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Basiri |D Abdolali |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Abbasi Molai |D Ali |u School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Soft Computing |d Springer Berlin Heidelberg |g 19/2(2015-02-01), 283-291 |x 1432-7643 |q 19:2<283 |1 2015 |2 19 |o 500 | ||