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On fuzzy sets

Walenty Ostasiewicz — 1980

Mathematica Applicanda

From the introduction: "The present article is an elementary introduction to the concept of fuzzy sets. There is a bibliography of 30 items.''

Calculus of fuzzy numbers

Walenty Ostasiewicz — 1979

Mathematica Applicanda

From the introduction: "In this article we attempt to use concepts of fuzzy set theory to formalize such ideas as `about 30', `approximately 5', few, many, etc. These ideas describe some numbers, but are not precise; hence, we call them imprecise, or fuzzy numbers. Despite their fuzzy character, one can perform various arithmetical and logical operations: X earns more than Y (even though both of them earn very little), Z earns as much as X and Y earn between them (a sum of two numbers), etc. The...

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