# Special Issues: Interfaces Between Fuzzy Sets and Interval Analysis

Subject: Special Issues: Interfaces Between Fuzzy Sets and Interval Analysis
Date: Thu Jun 22 2000 - 21:12:08 MET DST

CALL FOR PAPERS
Fuzzy Sets and Systems
Special Issues: Interfaces Between Fuzzy Sets and Interval Analysis
http://www-math.cudenver.edu/~wlodwick/journals/fss-call.html

Fuzzy set theory when restricted to sets of real numbers can be approached
via intervals and interval analysis. The intimate relationship between
interval analysis and fuzzy set theory is especially apparent in fuzzy
arithmetic, fuzzy optimization and some areas of fuzzy mathematical
analysis. A unimodal fuzzy membership function can be formed from a
continuum of intervals corresponding to alpha-levels or a continuum of
disconnected intervals for multi-modal fuzzy membership functions.
Intervals are one type of fuzzy set possessing a rectangular membership
function. This being the case, the issues and mathematical analysis
associated with fuzzy set theory and interval analysis are mutually
relevant. We invite papers on advances that clearly demonstrate the
interrelationships between fuzzy set theory and interval analysis. We
list some examples of the types of papers we seek. This list is
indicative and not exhaustive.

* Fuzzy and interval mathematical analysis; for example, the role and
interrelationship of the fuzzy extension principle of L. Zadeh and
interval united extension of R.E. Moore in fuzzy functions, fuzzy
mathematical analysis and foundational issues
* Comparative analyses of the logics associated with fuzzy set theory,
possibility theory and interval analysis
* Upper and lower probability interpretation of possibility theory
* Fuzzy extensions of interval ordering
* The application of interval analysis to fuzzy algorithms and vice versa
* Possibilistic, fuzzy, and interval optimization
* Fuzzy and interval systems techniques in operations research
* Fuzzy and interval logic controllers
* Computer systems in support of fuzzy number data types and associated
numerical algorithms akin to such interval analysis computer systems as
that of S. Rump, "INTLAB - Interval Laboratory" (see version 3 of INTLAB
and paper at:
http://www.ti3.tu-harburg.de/~rump/intalb/index.html
* Fuzzy and interval dynamical systems
* Complexity issues in fuzzy and interval methods
* One of the uses of interval analysis is in the validation of solutions
under computational and data errors. Is there a comparable use of fuzzy
set and possibility theory in the validation of solutions under
uncertainty?

In addition to new results in theoretical analysis, innovative
applications, and computer implementations, we invite insightful surveys.

Guest editor: Professor Weldon A. Lodwick
Department of Mathematics - Campus Box 170
University of Colorado at Denver
P.O. Box 173364
weldon.lodwick@cudenver.edu
Telephone: + 303 556-8462

Procedure for Submission

All contributions must be original, not published elsewhere, and written
clearly in English. Please send 5 copies of your paper to the Guest
Editor before 01/01/2001.

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