In this paper xed point and coincidence results are presented for two and three single-valued map-pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi(2008).

and Applied Analysis 3 3. Main Results Throughout this paper, we will consider lattices as complete lattices,X will denote space, and μ is a membership function of any fuzzy set X. Definition 3.1. If m : σ L → R ∪ {∞} satisfies the following properties, then m is called a lattice measure on the lattice σ-algebra σ L . i m ∅ L0. ii For all f, g ∈ σ L such that m f , m g ≥ L0 : f ≤ g ⇒ m f ≤ m g ...

In this paper, associated with dominance relation, lattice theory and intuitionistic fuzzy sets theory, the lattice-valued information systems with interval-valued intuitionistic fuzzy decision are proposed and some of its properties are investigated carefully. And, an approach to knowledge reduction based on discernibility matrix in consistent latticevalued information systems with interval-va...

Uncertainty reasoning is one of the important issues of many research fields, such as artificial intelligence, knowledge-based systems, data-mining etc.. This paper proposes the theory of uncertainty reasoning in the “If...then...” type uncertainty reasoning mode based on the lattice-valued first-order logic Lvfl. The “If...then...” rule presented here is the rule in which both antecedent and c...