Publication:
Probabilistic fuzzy sets and a related operator algebra

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2006

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item.page.editor

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SPRINGER/PLENUM PUBLISHERS

DOI

10.1007/s10773-006-9066-7

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Article
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Abstract

The rules of union and intersection of probabilistic fuzzy sets guided us to construct a related operator algebra. In a Hilbert space, where each fuzzy set is represented by an orthonormal vector, the union and the intersection operators generate a well-defined algebra with a unique representation.

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INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

ISSN

0020-7748

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Keywords

quantum physics , Hilbert space , fuzzy sets , random sets , q-oscillator , operator algebra , Q-OSCILLATORS , Q-ANALOGS , Physics

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https://hdl.handle.net/20.500.14981/49472

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