Search

Start Over Creator Inuiguchi, Masahiro

1. A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors

Creator:
Inuiguchi, Masahiro
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
fuzzy linear programming, oblique fuzzy vector, necessity vector, necessity measure, and Bender´s decomposition
Language:
English
Description:
In this paper, a necessity measure optimization model of linear programming problems with fuzzy oblique vectors is discussed. It is shown that the problems are reduced to linear fractional programming problems. Utilizing a special structure of the reduced problem, we propose a solution algorithm based on Bender's decomposition. A numerical example is given.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. A value based on marginal contributions for multi-alternative games with restricted coalitions

Creator:
Masuya, Satoshi and Inuiguchi, Masahiro
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
game theory, cooperative game, multi-alternative game, restricted game, and Banzhaf value
Language:
English
Description:
This paper deals with cooperative games with n players and r alternatives which are called multi-alternative games. In the conventional multi-alternative games initiated by Bolger, each player can choose any alternative with equal possibilities. In actual social life, there exist situations in which players have some restrictions on their choice of alternatives. Considering such situations, we study restricted multi-alternative games. A value for a given game is proposed.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Calculations of graded ill-known sets

Creator:
Inuiguchi, Masahiro
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
ill-known set, lower approximation, and upper approximation
Language:
English
Description:
To represent a set whose members are known partially, the graded ill-known set is proposed. In this paper, we investigate calculations of function values of graded ill-known sets. Because a graded ill-known set is characterized by a possibility distribution in the power set, the calculations of function values of graded ill-known sets are based on the extension principle but generally complex. To reduce the complexity, lower and upper approximations of a given graded ill-known set are used at the expense of precision. We give a necessary and sufficient condition that lower and upper approximations of function values of graded ill-known sets are obtained as function values of lower and upper approximations of graded ill-known sets.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. Interval linear regression methods based on Minkowski difference - a bridge between traditional and interval linear regression models

Creator:
Inuiguchi, Masahiro and Tanino, Tetsuzo
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
interval linear regression analysis, least squares method, minimum absolute deviations method, and Minkowski difference
Language:
English
Description:
In this paper, we extend the traditional linear regression methods to the (numerical input)-(interval output) data case assuming both the observation/measurement error and the indeterminacy of the input-output relationship. We propose three different models based on three different assumptions of interval output data. In each model, the errors are defined as intervals by solving the interval equation representing the relationship among the interval output, the interval function and the interval error. We formalize the estimation problem of parameters of the interval function so as to minimize the sum of square/absolute interval errors. Introducing suitable interpretation of minimization of an interval function, each estimation problem is well-formulated as a quadratic or linear programming problem. It is shown that the proposed methods have close relation to both traditional and interval linear regression methods which are formulated in different manners.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public