Anti - hesitant fuzzy module

Abstract

In this paper, we study the definition of hesitant fuzzy set, with some its properties . We

introduced the definition of anti-hesitant fuzzy module with the result equivalent of definition . Also, we

study the relationship between this concept and the concept hesit-ant fuzzy module with prove some

results . We establish anti-image of hesitant fuzzy set, and through which we have the image and the

inverse image of the anti-hesitant fuzzy module with respect the homomorphism between modules.