منابع مشابه
The Symmetric Sugeno Integral
We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called Šipoš integral. Our framework is purely ordinal, since the Sugeno integral has its interest when the underlying structure is ordinal. We begin by defining negative numbers on a linearly ordered set, and we endow this new structure with a suitable algebra...
متن کاملThe Sugeno fuzzy integral of concave functions
The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....
متن کاملOn Sugeno integral as an aggregation function
Aggregation refers to the process of combining numerical values x1, . . . , xm into a single one M (x1, . . . , xm), so that the final result of aggregation takes into account all the individual values. In decision making, values to be aggregated are typically preference or satisfaction degrees and thus belong to the unit interval [0, 1]. This paper aims at investigating the Sugeno integral whi...
متن کاملComonotone maxitivity and extended Sugeno integral
Comonotone maxitive idempotent aggregation functions on [0, 1] are characterized and the extended Sugeno integral is introduced. Also the relationship of Sugeno integral and the extended Sugeno integral is clarified. Finally, extended weighted maxima on [0, 1] are discussed.
متن کاملSome lexicographic approaches to the Sugeno integral
We present a survey of various approaches for the refinement of the Sugeno integral, based on the lexicographic order or the principle of discarding common values between acts. We try to relate these different approaches and compare their merits.
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ژورنال
عنوان ژورنال: Journal of Japan Society for Fuzzy Theory and Systems
سال: 1998
ISSN: 0915-647X,2432-9932
DOI: 10.3156/jfuzzy.10.2_20