Intuitionistic fuzzy generators Application to intuitionistic fuzzy complementation

✍ Scribed by H. Bustince; J. Kacprzyk; V. Mohedano

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 224 KB
• Volume: 114
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00279-6

✦ Synopsis

In this paper from the deÿnition of intuitionistic fuzzy sets we analyze the complementation in these sets. We begin by deÿning the intuitionistic fuzzy generators and the particular cases for which this deÿnition coincides with the fuzzy complementation. Afterwards, we study the existence of the equilibrium points, dual points and we present di erent characterization theorems of intuitionistic fuzzy generators. By means of these theorems we can generate an unlimited number of intuitionistic fuzzy generators. Lastly, we present a way of constructing intuitionistic fuzzy sets from a fuzzy set and the intuitionistic fuzzy generators. The deÿnition of intuitionistic fuzzy generator and the method of construction presented leads us in a natural way to deÿne (' 1; '2)-intuitionistic fuzzy sets obtaining from them, as a particular case, intuitionistic fuzzy sets. We conclude deÿning the intuitionistic fuzzy complementations and seeing how these recover the fuzzy complementations. We also study the complementary of an intuitionistic fuzzy set from the intuitionistic fuzzy generators.