A characterization of the 2-additive Choquet integral through cardinal information
نویسندگان
چکیده
In the context of Multiple criteria decision analysis, we present the necessary and sufficient conditions to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity. These conditions are based on some complex cycles called cyclones.
منابع مشابه
Elicitation of a 2-Additive Bi-capacity through Cardinal Information on Trinary Actions
In the context of MultiCriteria Decision Aid, we present new properties of a 2-additive bi-capacity by using a bipolar Möbius transform. We use these properties in the identification of a 2-additive bi-capacity when we represent a cardinal information by a Choquet integral with respect to a 2-additive bi-capacity.
متن کاملA Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity
In the context of Multiple criteria decision analysis, we present the necessary and sufficient conditions allowing to represent an ordinal preferential information provided by the decision maker by a Choquet integral w.r.t a 2-additive capacity. We provide also a characterization of this type of preferential information by a belief function which can be viewed as a capacity. These characterizat...
متن کاملThe 2-additive fuzzy Choquet integral-based TODIM method with improved score function under hesitant fuzzy environment
Recently, the TODIM$^1$(an acronym in Portuguese of interactive and multi-criteria decision making) method has attracted increasing attention and many researchers have extended it to deal with multiple attribute decision making (MADM) problems under different situations. However, none of them can be used to handle MADM problems with positive, independent, and negative interactions among attribu...
متن کاملA characterization of the 2-additive Choquet integral
We present the necessary and sufficient conditions on ordinal preferential information provided by the decision maker for the existence of a 2-additive capacity such that the Choquet integral w.r.t. this capacity represents the preference of the decision maker. These conditions help the decision-maker to understand the main reasons of the recommendations made when inconsistencies occur in his p...
متن کاملDealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral
We propose an algorithm to solve inconsistencies when the preferences of a decision-maker, given by a strict and an indifference relations on a set of binary actions, are not representable by a 2-additive Choquet integral. According to the characterization of this type of information, these inconsistencies arise from the violation of the MOPI property or occur in the presence of a strict cycle ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 184 شماره
صفحات -
تاریخ انتشار 2011