We show that only two simple trade-off judgments are sufficient to determine whether the multiplicative multiattribute model assumes its additive form, regardless of the number of attributes in the model. This additivity condition offers a useful alternative to the test based on multiattribute lotteries commonly presented in textbooks. It J. Multi-Crit. Deck Anal. 6: 248-252 (1997) No. of Figur...

Since little attention has been devoted to multiattribute control charts in the literature, in this research a new methodology is developed to employ the multivariate exponentially weighted moving average (MEWMA) chart for multiattribute processes. Moreover, since the variable sample size and sampling interval (VSSI) MEWMA charts detect small process mean-shifts faster than the traditional MEWM...

An multi-polar fuzzy set is a robust mathematical model to examine multipolar, multiattribute, and multi-index data. The sets was created as useful mechanism portray uncertainty in multiattribute decision making. In this article, we consider the theoretical applications of sets. We present notion ordered semihypergroups define hyperideals (bi-hyperideals, quasi hyperideals) an semihypergroup. R...

We compare the economic efficiency achieved by multiattribute auctions that use an accurate GAI modeling of preferences, with a multiattribute auction that is limited to an additive representation. We draw random GAI-structured utility functions with various internal structures, generate additive functions that approximate the GAI utility, and compare the performance of the auctions using the t...

This paper describes a decision support system based on an additive or multiplicative multiattribute utility model for identifying the optimal strategy. This is intended to allay many of the operational difficulties involved in assessing and using multiattribute utility functions. The system admits imprecise assignments for weights and utilities and uncertainty in the multiattribute strategies,...

Context effects occur when a choice between 2 options is altered by adding a 3rd alternative. Three major context effects--similarity, compromise, and attraction--have wide-ranging implications across applied and theoretical domains, and have driven the development of new dynamic models of multiattribute and multialternative choice. We propose the multiattribute linear ballistic accumulator (ML...

The class of first order polynomial measurement representations is defined, and a method for proving the existence of such representations is described. The method is used to prove the existence of first order polynomial generalizations of expected utility theory, difference measurement, and additive conjoint measurement. It is then argued that first order polynomial representations provide a d...

Intelligent decision support requires knowledge elicitation processes. Two primary approaches for knowledge elicitation in a multiattribute classification task are 1) direct elicitation of decision rules in the form of productions, and 2) classification of multiattribute objects by an expert as a basis for development of the underlying decision rules. This study reports an experiment using a si...