Fuzzy Sets and Systems 7 (1982) 19-33
North-Holland Publishing Company
i9
A DYNAMIC PERSPECTIVE ON LEADERSHIP:
DEVELOPMENT OF A FUZZY MEASUREMENT
PROCEDURE
Bonnie SPILLMAN
Department of Communication, University of Puget Sound, Tacoma, WA, U.S.A.
Richard SPILLMAN
Boeing Aerospace Company, Seattle, WA, U.S.A.
James BEZDEK
Department of Mathematics, Utah State University, Logan, UT, U.S.A.
Received April 1980
Revised July 1980
This study reports preliminary findings concerning the utility and validity of a new fuzzy
matrix procedure for the measurement and identification of leader emergence and the hierar-
chical structure of leadership in small groups. The instrument is designed to reflect the
interactive, perceptual and shared nature of leadership. Several leadership identification tech-
niques are reviewed, but they are found to be both conceptually and methodologically deficient.
Results from this pilot test demonstrate the utility of the fuzzy measurement procedure. Several
advantages are explored for this new measurement technique including an examination of the
dynamic process of leader formation.
Keywords: Fuzzy models, Small group leadership, Fuzzy relations, Fuzzy hierarchy.
Introduction
The question of what makes a leader has been addressed by rhetoricians,
sociologists, psychologists, communication theorists and by researchers of several
interrelated disciplines. Conceptually, most present researchers view leadership as
an interactive phenomenon which emerges as a result of a growing relationship
among members of a social system. Methodologically, leadership has been meas-
ured in terms of perceptions, behaviors, and qualities. A consensus on the exact
nature of leadership emergence and leadership identification has not yet been
achieved despite the wide varieties of studies. The purpose of this paper is to
explore the utility of a new method of leadership identification based on the fuzzy
set theory of mathematics [12, 13].
The first section of this paper will explore some current conceptual and
measurement issues related to leadership. The second section will describe the
0165-0114/82/0000-0000/$02.75 © 1982 North-Holland