A method to solve linear fuzzy equations with a symmetric matrix is proposed. Ignoring the symmetry leads to an overestimation of the solution. Our method to find the solution of a system of linear fuzzy equations takes the symmetry of the matrix into account and is based on parametric functions. It...

Basic bilevel programming deals with hierarchical optimization problems in which the leader at the upper level attempts to optimize his/her objective, subject to a set of constraints and his/her follower’s solution, and the follower at the lower level tries to find an optimized strategy according to...

Different kinds of knitted fabric vest are chosen as underwear samples made of a novel pearl - cellulose blend fiber and other functional fibers including Modal, milk fiber, Richcel, Dupont C, Tencel, cotton, viscose etc. Then subjective experiment with four stages is taken by strictly controlling the...

The difference between equality and identity of two fuzzy numbers is discussed in this paper. According to fuzzy arithmetic with requisite constraints put forward by Klir, the fuzzy arithmetic with equality constraints and its expression based on structured element are put forward, and then the irreversible...

In this paper the Fuzzy DEA Model was constructed. The model conducted an X-efficiency measure on Chinese Commercial Banks. At last Cause analyses and policy suggestions was given.

Most of the current fuzzy ontologies are too domain-specific and don’t support reasoning on fuzzy descriptions. By investigating the uncertainty information in the real world, we discover three widely existing general fuzzy relations. Based on such investigation and motivated by the desire to support...

We begin the paper studying the axioms that the inclusion measure of an element in another element of a lattice and the similarity measure between two elements should satisfy. Next, we present a series of expressions of inclusion measures, ¯rst for intuitionistic values and then for intuitionistic fuzzy...

In this paper, the fuzziness of Gomoli¶nska approximation space based on uncertainty mappings was introduced. It is proved that many approximation operators could be constructed by the composition of basic approximation operators.

Image segmentation using fuzzy entropy is an important and common segmentation method. The threshold of fuzzy entropy is mostly selected at the gray value with fuzzy membership degree 0.5. It is a limitation in some cases. In order to solve this problem, we present a new definition of generalized fuzzy...

In this paper,we combine fuzzy topological structures with algebraic structures on X,and investigate their corresponding structures and properties.In the section 3,the relationship between fuzzy topological structure and increasing(decreasing)fuzzy syntopogenous structure is studied.In the section 4...

Firstly, we establish a formula of FMP problems by Triple I algorithm based on a family of implication operators L-¸-G. Secondly, we discuss fuzzy systems based on Triple I algorithm and their response ability. The results show that the fuzzy system with a family of implication operators L ¡ ¸ ¡ G has...

In this paper, a new method for ranking fuzzy numbers is proposed. Based on decomposition theorem of fuzzy set, firstly, the method considers interval numbers, the relation between lines and interval numbers is discussed in Cartesian coordinates, the distance of dot to lines is used as evaluation of...

In this paper, several equivalent conditions for fuzzy filters are given in lattice implication algebra. The relation between fuzzy filters and fuzzy implicative filters is discussed. It is also proved that fuzzy implicative filters are fuzzy filters in lattice implication algebra.