Vague Ideals of Implication Groupoids

Fuzzy Ideals of Implication Groupoids

In this paper, we introduce the concept of fuzzy ideals in implication groupoids and investigate its properties.

On Ideals of Implication Groupoids

On Prime and Semiprime Ideals in Ordered AG-Groupoids

The aim of this short note is to introduce the concepts of prime and semiprime ideals in ordered AG-groupoids with left identity. These concepts are related to the concepts of quasi-prime and quasi-semiprime ideals, play an important role in studying the structure of ordered AG-groupoids, so it seems to be interesting to study them.

IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

The notion of vague ideals in pseudo MV-algebras is introduced,and several properties are investigated. Conditions for a vague set to be avague ideal are provided. Conditions for a vague ideal to be implicative aregiven. Characterizations of (implicative, prime) vague ideals are discussed.The smallest vague ideal containing a given vague set is established. Primeand implicative extension proper...

Vague Prime Li-ideals of Lattice Implication Algebras

In order to investigate a many valued logical system whose proportional value is given in a lattice, in 1993 Y. Xu [12] first established the lattice implication algebra by combining lattice and implication algebra, and explored many useful structures. The ideal theory serves a vital function for the development of lattice implication algebras. Y. Xu, Y.B. Jun and E.H. Roh [6] introduced the no...