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Equivalence of Fuzzy Subgroups of Finite Abelian Groups
In this chapter, we determine the number of fuzzy subgroups of certain finite Abelian groups with respect to a suitable equivalence relation. This is... -
Lattices of Fuzzy Subgroups
Many results concerning relationships between classes of crisp subsets can be carried over to similar relationships between classes of fuzzy subsets.... -
Direct Products of Fuzzy Subgroups and Fuzzy Cyclic Subgroups
In Chapter 6, a necessary and sufficient condition for a fuzzy subgroup to be a weak direct sum of fuzzy subgroups was obtained by employing known... -
Content Based Image Compression in Biomedical High-Throughput Screening Using Artificial Neural Networks
Biomedical High-Throughput Screening (HTS) requires specific properties of image compression. Particularly especially when archiving a huge number of... -
Medical Bioinformatics: Detecting Molecular Diseases with Case-Based Reasoning
Based on the Human Genome Project, the new interdisciplinary subject of bioinformatics has become an important research topic during the last decade.... -
Discriminative Clustering of Yeast Stress Response
When a yeast cell is challenged by a rapid change in the conditions, be it temperature, osmolarity, pH, nutrient or other, it starts a genome stress... -
Cancer Classification with Microarray Data Using Support Vector Machines
Microarrays (Schena et al. 1995) are also called gene chips or DNA chips. On a microarray chip, there are thousands of spots. Each spot contains the... -
Random Voronoi Ensembles for Gene Selection in DNA Microarray Data
Currently, cancer and other complex pathologies are analyzed mainly by morphological classification. In the past few decades there have been dramatic... -
Class Prediction with Microarray Datasets
Microarray technology is having a significant impact in the biological and medical sciences and class prediction will play an increasingly important... -
SYNESTHETIC ANALYSIS OF AUDIO-VISUAL DATA
Interaction between two perceptual modalities, seeing and hearing, their interaction and mutual reinforcement in a complex relationship was a subject... -
Fuzzy Subsets and Fuzzy Subgroups
The pioneering work of Zadeh on fuzzy subsets of a set in [53] and Rosenfeld on fuzzy subgroups of a group in [43] led to the fuzzification of... -
Fuzzy Caley's Theorem and Fuzzy Lagrange's Theorem
We begin our discussion with properties of normal fuzzy subgroups. Fuzzy analogs of some group theoretic concepts such as cosets, characteristic... -
Introduction
This book is written in two major parts. The first part includes the introductory chapters consisting of Chaps. 1 through 8. In part two, Chaps.... -
Machine Shop II
This chapter continues the machine shop model discussed in the previous chapter. Management is considering a radical change in the machine shop... -
Inventory Control I
This single item multi-period inventory model is shown in Fig. 16.1. This problem will be expanded and also studied in the next chapter. These... -
Machine Servicing Problem
The machine servicing problem is shown in Fig. 14.1 and a basic description can be found in almost any operations research book ([1] p. 573(.... -
A Bus Stop
We have plenty of complaints about a certain bus stop. People can not get on the bus because when it stops it is already too crowded. We could add... -
Bank Teller Problem
This is a classical problem in queuing theory: should there be multiple queues, one for each teller in a bank, or should we have one single queue for... -
Genetic Algorithms Based Hybrid Intelligent Systems
The oldest branch of Evolutionary Computation, namely GA, is at the same time the used in real-world applications of HIS. Chapter 8 of the book tries... -
The Challenge of Hierarchical Difficulty
Thus far, we have examined the Bayesian optimization algorithm (BOA), empirical results of its application to several problems of bounded difficulty,...