an:06155199
Zbl 1260.03097
Shen, Yong-hong; Wang, Fa-xing; Chen, Wei
A note on intuitionistic fuzzy mappings
EN
Iran. J. Fuzzy Syst. 9, No. 5, 63-76 (2012).
00316293
2012
j
03E72
truncation projection; intuitionistic fuzzy mapping; truncation mapping; decomposition theorem; representation theorem
Summary: In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its relationship with intuitionistic fuzzy relations is derived. Moreover, some basic operations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebra with respect to these operations. Afterwards, the Atanassov's operator is applied to intuitionistic fuzzy mappings and the corresponding properties are examined. Finally, the decomposition and representation theorems of intuitionistic fuzzy mappings are established.