Fuzzy Sets and Systems 24 (1987) 391-395 391 North-Holland

BULLETIN

1. Editorial

This edition of the Bulletin has a second research report from Krzysztof Piasecki in Poznan and details of a recent meeting from Jerzy Albrycht in the same city. We thank these two and hope that more of you wil l be able to contribute articles on a regular basis.

Book Reviews. The fol lowing books have been received by the Bulletin and are awaiting review:

K.J. Schmucker, Fuzzy Sets, Natural Language Computations and Risk Analysis (Computer Science Press, 1984).

K.H. Kim and F.W. Roth, Team Theory (Ellis Horwood, 1987). P.G. Politakis, Empirical Analysis for Expert Systems, Research Notes in Artificial Intelligence 6

(Pitman, 1985). Yuichi Ohta, Knowledge-based Interpretation of Outdoor Natural Color Scenes, Research

Notes in Artificial Intelligence 4 (Pitman, 1985).

If anyone would like to review these books, please write to the Bulletin editor so that a copy may be sent to you. Unsolicited reviews are also, of course, very welcome.

lan Graham August 1987

2. Fuzzy Sets in Poznar~

It is my second report to the Bulletin section of Fuzzy Sets and Systems. The first one was published in Fuzzy Sets and Systems Vol. 20, No 2, Therefore, only events which have occurred in the last year wil l be presented.

At the outset, I am going to present my contacts with Slovak and Polish mathematicians who are active in the measure theory area. These contacts are related to investigations on fuzzy P-measures and their applications. Our collaboration started when at the First Joint IFSA-EC and EURO-WG Workshop held in Warsaw in November 1986, A. Dvure~enskij (Institute for Measurement Theory, SIovak Acad. Sco., Bratislava, Czechoslovakia) and B. Rie~an (VVTS (~SSP, Liptovski Mikula~,, Czechoslovakia) pointed out that fuzzy P-measures have the same algebraic structure as states in the quantum logic theory which is a mathematical model for statistical quantum mechanics. Inspired by this, they proposed to define an F-quantum space in a similar manner as a soft fuzzy probabil ity space. Moreover, they define an F-observable in an analogous way as a random variable measurable on the field of fuzzy events, i.e. as a o-homomorphism from the usual Borel field into F-quantum space. So, they show that the soft fuzzy probabil i ty space theory can be useful for investigations in quantum mechanics. The same was noticed by the Polish mathematician J. Pykacz (University of Gdar~sk, Poland) who bases his own considerations on Mackey's axiomatic approach to quantum mechanics. These results have enlarged the group of research workers investigating