The purpose of this paper is to introduce the concept of L-fuzzybilinear operators. We obtain a decomposition theorem for L-fuzzy bilinearoperators and then prove that a L-fuzzy bilinear operator is the same as apowerset operator for the variable-basis introduced by S.E.Rodabaugh (1991).Finally we discuss the continuity of L-fuzzy bilinear operators.

A multi-offspring genetic algorithm based on sorting grouping selection and combination pairing crossover was proposed in this paper. First, individuals the population were sorted according to their objective function values, remaining divided into several groups after eliminating worst. Then, operation, which has advantage of a simplified calculation that can be easily performed, implemented. ...

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

Nowadays, it is very popular to employ genetic algorithm (GA) and its improved strategies optimize neural networks (i.e., WNN) solve the modeling problems of aluminum electrolysis manufacturing system (AEMS). However, traditional GA only focuses on restraining infinite growth optimal species without reducing similarity among remaining excellent individuals when using exclusion operator. Additio...

This paper develops a new crossover operator, Sequential Constructive crossover (SCX), for a genetic algorithm that generates high quality solutions to the Traveling Salesman Problem (TSP). The sequential constructive crossover operator constructs an offspring from a pair of parents using better edges on the basis of their values that may be present in the parents' structure maintaining the seq...

In recent years the use of Genetic or Evolutionary techniques has produced interesting results on the automatic generation of Knowledge Bases for Fuzzy Logic Controllers. Three diierent representations of the rule base have been considered: list of rules, relational matrix and decision table. The use of lists of rules reduces the dimension of the rule base but presents some handicaps for crosso...

In Vector Quantization (VQ), minimization of Mean Square Error (MSE) between code book vectors and training vectors is a non-linear problem. Traditional LBG type of algorithms converge to a local minimum, which depends on the initial code book. While most of the efforts in VQ have been directed towards designing efficient search algorithms for code book, little has been done in evolving a proce...

In this paper we explore the influence of the dynamics of evolution on coding structures of sequences. We show that, in systems with crossover, high mutation rates cause the rnoq conserved subsequences to he preferentially used as recognition sites for newly evolving sequences. In other words: “multiple coding” evolves in these systems. Multiple coding often does not increase. the fitness of th...

In this paper we give a representation-independent topological definition of crossover that links it tightly to the notion of fitness landscape. Building around this definition, a geometric/topological framework for evolutionary algorithms is introduced that clarifies the connection between representation, genetic operators, neighbourhood structure and distance in the landscape. Traditional gen...