Hung T. Nguyen Berlin Wu V. Kreinovich Dept. of Math. Sciences Dept. of Math. ...  Home/Search
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Abstract: We propose to use Chu categories as a general framework for uncertainty analysis, with a special attention to fuzzy theory. We emphasize the fact that by viewing fuzzy concepts as Chu spaces, we can discover new aggregation operators, and model interactions and relationship between fuzzy data; these possibilities are due, in essence, to the category structure of Chu spaces, and especially to their morphisms. This paper is a tutorial introduction to the subject. 1 Introduction 1.1 A General... (Update)
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...etc. This justification is in line with a general group theoretic approach described in our 1997 Kluwer book [14] see also [4, 10, 12, 15, 16, 17]) 4 The Main Technical Idea Behind Using Chu Spaces as a Foundation for Fuzzy Theory: A Simplified (Non Fuzzy) Illustration...
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BibTeX entry: (Update)
H. T. Nguyen, B. Wu, and V. Kreinovich, "A New Look at Fuzzy Theory Via Chu Spaces", Proceedings of The Eighth International Fuzzy Systems Association World Congress IFSA'99, Taipei, Taiwan, August 17-- 20, 1999, pp. 237--240. http://citeseer.ist.psu.edu/nguyen99new.html More
@techreport{ nguyen99new,
author = "S. Nguyen and S. Pallottino and M. G. Scutella'",
title = "A new dual algorithm for shortest path reoptimization",
number = "TR-99-14",
month = "13,",
year = "1999",
url = "citeseer.ist.psu.edu/nguyen99new.html" }
Citations (may not include all citations):64 Applications of continuous mathematics to computer science (context) - Nguyen, Kreinovich - 1997
27 Chu Spaces and their Interpretation as Concurrent Objects - Pratt - 1995
9 Springer Lecture Notes in Mathematics (context) - Barr, Categories - 1979
9 The logic of distributed systems (context) - Barwise, Seligman - 1997
7 Fuzzy Logic as Applied Linear Logic (context) - Kreinovich, Nguyen et al. - 1996
4 Fuzzy sets and fuzzy relational structures as Chu spaces (context) - Papadopoulos, Syropoulos - 1998
1 The application of generalized fuzzy rules to machine learni.. (context) - Baldwin, Lawry et al. - 1998
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