Name
Title | ||
|---|---|---|
Partial Derivative and Complete Differential of Binary Intuitionistic Fuzzy Functions |
Abstract | ||
|---|---|---|
Intuitionistic fuzzy set (IFS), introduced by Atanassov (1986), is the generalization of Zadeh’s fuzzy set. The basic element of IFS is an ordered pair called intuitionistic fuzzy number, based on which, Lei and Xu originally introduced the intuitionistic fuzzy function (IFF) and then developed the derivatives and differentials of IFFs. In the paper, we first define the binary intuitionistic fuzzy numbers (BIFNs) and put forward their operational principles. Then, we discuss the limit and the continuity of sequences of BIFNs. In addition, we study the continuities, the partial derivatives and the complete differentials of the intuitionistic binary fuzzy functions and then generalize the aforementioned definitions and theorems to derive the counterparts of the multivariate intuitionistic fuzzy functions. |
Year | DOI | Venue |
|---|---|---|
2017 | https://doi.org/10.1007/s40815-017-0300-7 | International Journal of Fuzzy Systems |
Keywords | Field | DocType |
Intuitionistic fuzzy number,Intuitionistic fuzzy calculus,Binary intuitionistic fuzzy function,Multivariate intuitionistic fuzzy function,Partial derivative,Complete differential | Discrete mathematics,Mathematical optimization,Algebra,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Fuzzy set,Fuzzy subalgebra,Fuzzy number,Mathematics | Journal |
Volume | Issue | ISSN |
19 | 2 | 1562-2479 |
Citations | PageRank | References |
0 | 0.34 | 16 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feng Tian | 1 | 17 | 3.58 |
| Shousheng Liu | 2 | 334 | 15.54 |
| Zeshui Xu | 3 | 14310 | 599.02 |
| Qian Lei | 4 | 0 | 0.34 |