In this paper, integrity of fuzzy graph is defined. Integrity of special types of graphs with constant node strength and node strength sequences as (pn−1 1 , p2) is discussed. Also, integrity of regular fuzzy graph and complete fuzzy graph is presented.

In this paper, we prove some common fixed point theorems for any even number of compatible mappings in complete L-fuzzy metric spaces. Our main results extend and generalize some known results in fuzzy metric spaces, intuitionistic metric spaces and L-fuzzy metric spaces.

In this paper, Lowen’s strong fuzzy compactness and ultra-fuzzy compactness of I -topological spaces are extended to L-subsets, for L—a complete lattice. The properties of strong fuzzy compact L-subsets and ultra-fuzzy compact L-subsets are studied in detail here, and comparisons between these notions as well as the notion of N-compactness are shown. c © 2004 Elsevier B.V. All rights reserved.

We shall continue to discuss further properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity and the regularity of fuzzy measure are shown. Also the strong regularity of fuzzy measure is discussed on complete separable metric spaces. As an application of strong regularity, we pr...

We shall discuss further regularity properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity and the regularity of fuzzy measure are shown. Also the strong regularity of fuzzy measure is discussed on complete separable metric spaces. As an application of strong regularity, we pre...

Abstract: The purpose of this paper is to discuss the properties of regularity and strong regularity of fuzzy measure on metric spaces following the previous results. Some properties are defined with the help of nulladditivity such as inner\outer regularity and the regularity of fuzzy measure. We define the strong regularity of fuzzy measures and show our result that the null-additive fuzzy mea...

Given a Brouwerian complete lattice (L,≤) and two referential sets K and E, and using a fuzzy relation R ∈ L which is reflexive and symmetric, certain fuzzy relations Ĥ ∈ L are characterized as solutions of X C R = X. These solutions Ĥ can be determinated by means of the L-fuzzy concepts associated with the K-labeled L-fuzzy context (L,K,E,E,R).

This paper presents recent developments on fuzzy model-based control applied to complex processes. First, a brief description of the main steps in fuzzy modelbased control, i.e., the identification of the model and the design of the controller is presented. Recent research developed by the author is aggregated to present a complete approach based on fuzzy tools. Various problems encountered in ...

We describe properties of compositions of isotone bonds between L-fuzzy contexts over different complete residuated lattices and we show that L-fuzzy contexts as objects and isotone bonds as arrows form a category.

In [3] we presented a fuzzy multipurpose decision making model integrating different preference representations: preference orderings, utility functions and fuzzy preference relations. We complete the decision model studying its internal consistency.