In set theory, an element can either belong to a set or not; in optimization a solution can be feasible or not. Precision assumes that the parameters of a model represent exactly the real system that has been modeled. This, generally, also implies that the model ...
fuzzy set theoryaintroduction
fuzzy set_L A Zadeh英文版.pdf,模糊集是美国加利福尼亚大学控制论专家L.A.扎德于1965年首先提出的。模糊集合这一概念的出现使得数学的思维和方法可以用于处理模糊性现象,从而构成了模糊集合论(中国通常称为模糊性数学)的基础。INFOR~ATIO~AND CONTROL8, 338--353 (1965)
The final section is a survey of potential applicationsand published references on fuzzy set theory (12 pp.).This book is very theoretical and mathematical. It may be useful to research workerswishing to gain a broad view of the various developments and those reasearching intoparticular ...
The theory of fuzzy sets was introduced in 1965 by Lotfi A. Zadeh as a generalization of the classical Cantorian set theory whose logical basis is the two-valued Boolean logic (compare also [Klaua 1965, 1967]). It was suggested in [Zadeh 1965] to use the minimumTM, the maximumSM, and...
whether the pottery is old: actually, the set à of old Indian pottery is fuzzy because “ old” is a vague predicate. It wi l l be shown i n III.1 that the l ogi c underl yi ng fuzzy set theory i s mul ti val ent. Mul ti val ent l ogi c can be vi ewed as a cal...
Hence, if in applications of fuzzy set theory the likelihood interpretation is adopted, then not only the values of membership functions have a clear meaning, but the use of the above rules is justified, since these rules are implied by the considered interpretation. In this sense, the likeliho...
Fuzzy Sets and Fuzzy Logic 2025 pdf epub mobi 电子书 图书描述 Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety...
This chapter reviews concepts from fuzzy set theory indispensable for the fuzzy extension of th e multi-criteria decision making methods based on pairwise comparison matrices. Trapezoidal and triangular fuzzy numbers and intervals, which are most often used for the fuzzy extension of pairwise compariso...
However, the Fuzzy Set Theory was used only to determine the weights the decision makers assigned to the group assessment by applying the Intuitionist Fuzzy Theory. However, in the Fuzzy-MACBETH method proposed here, the problem of cardinal inconsistency was circumvented by transforming it into a...