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This book introduces fuzzy set theory to social science researchers. Fuzzy sets are categories with blurred boundaries. With classical sets, objects are either in the set or not, but objects can belong partially to more than one fuzzy set at a time. Many concepts in the social sciences have this characteristic, and fuzzy set theory provides methods for systematically dealing with them. A primary reason for not going beyond programmatic statements and rather unsophisticated uses of fuzzy set theory has been the lack of practical methods for combining fuzzy set concepts with statistical methods. This monograph takes that topic as its major focus, and provides explicit guides for researchers who would like to harness fuzzy set concepts while being able to make statistical inferences and test their models. Real examples and data-sets from several disciplines illustrate the techniques and applications, demonstrating how a combination of fuzzy sets and statistics enable researchers to analyze their data in new ways.

Mathematical logic --- MATHEMATICS --- Set Theory --- Social sciences --- Fuzzy sets --- Social Sciences - General --- Social Sciences --- Mathematics --- Fuzzy sets. --- Mathematics. --- #SBIB:303H10 --- kwantitatieve methoden --- maatschappijwetenschappen, methoden --- operations research --- Methoden en technieken: algemene handboeken en reeksen --- Sciences sociales --- Ensembles flous --- Mathématiques --- Sets, Fuzzy --- Fuzzy mathematics --- Set theory --- Social sciences - Mathematics

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Fuzzy set theory is a mathematical method that allows users to consider concepts that are subject to degree-vagueness between boundaries of full membership and nonmembership. An example might be the idea of development of a nation, the degree of constitutional control in a government, or a person's understanding of a linguistic number such as "Ba few" or "Bcertain." This entry introduces the idea of a fuzzy set as well as the operations on fuzzy sets using examples taken from the literature. It pays particular attention to challenges of interpreting and measurement of membership and between-set comparisons. It concludes with a review of selected applications of fuzzy sets in psychology, political science, and sociology.

Anthropology. --- Business and Management. --- Communication and Media Studies.