For the processing of decision making with uncertainty information, this paper establishes a decision model based on lattice-valued logic and researches the algorithm for extracting the maximum decision rules. Firstly, we further research the lattice-valued fuzzy concept lattice by combining the lattice implication algebra and classical concept lattice; secondly, we define the lattice-valued de...

Sequences generated by an F2-linear recursion have wide applications, in particular, pseudorandom number generation. The dimension of equidistribution with v-bit accuracy is a most important criterion for the uniformity of the generated sequence. The fastest known method for computing these dimensions is proposed by Couture and L’Ecuyer, based on Lenstra’s lattice basis reduction and the dual l...

Abstract In the present paper, the interval-valued pP, P_ qq-fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties of interval-valued pP, P_ qq-fuzzy LI-ideals are given. Representation theorem of interval-valued pP, P_ qq-fuzzy LI-ideal which is generated by an interval-valued fuzzy set is established. It is proved that the set consisting of all interval...

Lattice-valued up-sets and down-sets of a poset are investigated under the cutworthy approach. It is proved that the collections of all lattice valued up-sets and down-sets of a given poset are complete lattices under fuzzy inclusion. Properties of these are investigated. For a given collection of crisp up-sets of a poset, necessary and sufficient conditions are given under which the family rep...

In this paper, for a complete lattice L, we introduce interval-valued L-fuzzy ideal (prime ideal) of a near-ring which is an extended notion of fuzzy ideal (prime ideal) of a near-ring. Some characterization and properties are discussed.

Since [5], 4-valued logic is known to be a useful tool to capture the human reasoning: it is paraconsistent, can treat incompleteness and inconsistency of information etc. In this paper, I propose a 4-valued reasoning system with stratified bilattices of [12]. It inherits desirable formal properties of 4-valued logic, and further realizes a certain kind of default reasoning and truth maintenanc...

With the rapid development of network technology, especially in the internet area, distributed computation and parallel processing of data are urgently needed. This paper studies the combination operation of the lattice-valued concept lattices to realize its distributed computation and parallel processing. The proposal of its corresponding combination algorithm is mainly according to the conjun...