Interactive Multiobjective Decision Making by the Sequential Proxy Optimization Technique: SPOT

In this paper, we propose a new interactive multiobjective decision making technique, which we call the Sequential Proxy Optimization Technique (SPOT), in order to overcome the drawbacks of the conventional multiobjective decision making methods. Our method combines the desirable features of both the Surrogate Worth Trade-off (SWT) method and the Multiattribute Utility Function (MUF) method. We can interactively derive the preferred solution of the decision maker efficiently by assessing his marginal rate of substitution and maximizing sequentially the local proxy preference function. A numerical example illustrates the feasibility and efficiency of the proposed method

An Achievement Rate Approach to Linear Programming Problems with an Interval Objective Function

In this paper, we focus on a treatment of a linear programming problem with an interval objective function. From the viewpoint of the achievement rate, a new solution concept, a maximin achievement rate solution is proposed. Nice properties of this solution are shown: a maximin achievement rate solution is necessarily optimal when a necessarily optimal solution exists, and if not, then it is still a possibly optimal solution. An algorithm for a maximin achievement rate solution is proposed based on a relaxation procedure together with a simplex method. A numerical example is given to demonstrate the proposed solution algorithm

Fuzzy Random Noncooperative Two-level Linear Programming through Absolute Deviation Minimization Using Possibility and Necessity

This paper considers fuzzy random two-level linear programming problems under noncooperative behaviorof the decision makers. Having introduced fuzzy goals of decision makers together with the possibiliy and necessity measure, following absolute deviation minimization, fuzzy random two-level programin problems are transformed into deterministic ones. Extended Stackelberg solutions are introduced andcomputational methods are also presented

An Interactive Computer Program for Subjective Systems and Its Application

Decision problems have two phases: analytical and judgmental. In the judgmental phase of decision processes, preference order for alternative policy plans must be articulated with procedures for coordination and integration of various aspects for subproblems. For this purpose, decision analysis under uncertainty plays an essential role. In this paper we intend to develop a quantitative analysis of hierarchical preference structures for aiding decisions. An interactive computer program for subjective systems is presented and applied for assessing recent industrial development in the Sensyu area of Japan. Alternative policy plans are examined and evaluated

Evaluations for Industrial Land-Use Program Related to Water Quality Management

For analyzing a regional land-use program based on water pollution control, a hierarchical modeling of multilevel systems is presented. The overall, large scale objectives complex is decomposed into functional as well as regional subsystems. The device for coordinating and evaluating the sub-system is based on multiattribute utility analysis combined directly with dual variables obtained from mathematical programming. Shadow prices are used to derive the component criterion ("utility") functions which is a device for commensurating noncommensurate attributes. In the upper layer of the decision making system, uncertainty based on judgemental probability distributions is explicitly taken into consideration. This procedure is provided as a modified dynamic version of the nested Lagrangian multiplier method and is applied to the northern Senshu area in the Osaka prefecture of Japan

Interactive Fuzzy Random Two-level Linear Programming through Fractile Criterion Optimization

This paper considers two-level linear programming problems involving fuzzy random variables. Having introduced level sets of fuzzy random variables and fuzzy goals of decision makers, following fractile criterion optimization, fuzzy random two-level programming problems are transformed into deterministic ones. Interactive fuzzy programming is presented for deriving a satisfactory solution efficiently with considerations of overall satisfactory balance

Interactive Fuzzy Programming for Stochastic Two-level Linear Programming Problems through Probability Maximization

This paper considers stochastic two-level linear programming problems. Using the concept of chance constraints and probability maximization, original problems are transformed into deterministic ones. An interactive fuzzy programming method is presented for deriving a satisfactory solution efficiently with considerations of overall satisfactory balance

Technology Assessment and Decision-Aid Utility Analysis in Fossil Fuel-to-Fuel Conversion

In dealing with energy shortage problems around the world, energy utilization is closely related to technological development of fossil fuel-to-fuel conversion processes which provide alternatives to petroleum. Among the fossil fuel-to-fuel processes, several processes of making synthetic gas and oil from coal have been developed by several agencies. These processes are characterized by competitiveness and substitutability of diversified technologies in the same research and development area, and they have many deleterious effects on society, such as, resource exhaustion and environmental pollution. Thus alternative processes of technologies and their effects on human society should be examined and compared not only from the economic but from various social points of view as well. Thus, we propose the sociotechnique (SOTEC) concept for selecting the appropriate technology to the existing society. To solve the Complex Problematique to which the SOTEC concept corresponds is a multicriteria problem. IIASA's System and Decision Sciences Area has recognized the necessity of coping with the multicriteria problem. This study is going on at IIASA and at Kyoto as one of several cooperative studies. This paper can be seen as a preliminary and modest contribution in this direction. The results were presented at IFAC Symposium on Criteria for Selecting Appropriate Technologies under Different Cultural, Technical, and Social Conditions, May 21-23. 1979, Bari, Italy

An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Programming Problems

In this paper, we present a new interactive fuzzy satisficing method for solving multiobjective nonlinear programming problems by considering that the decision maker (DM) has fuzzy goals for each of the objective functions. The fuzzy goals of the DM are quantified by eliciting corresponding membership functions through the interaction with the DM. After determining the membership functions, if the DM specifies his reference membership values, the Tchebycheff norm problem is solved and the DM is supplied with the corresponding Pareto optimal solution and the trade-off rates between the membership functions. Then by considering the current values of the membership functions as well as the trade-off rates, the DM responds by updating his reference membership values. In this way the satisficing solution for the DM can be derived efficiently from among a Pareto optimal solution set by updating his reference membership values. On the basis of the proposed method, a time-sharing computer program is written and an illustrative numerical example is demonstrated together with the computer outputs

A Computer Program for Multiobjective Decision Making by the Interactive Sequential Proxy Optimization Technique

A new interactive multiobjective decision making technique, which is called the sequential proxy optimization technique (SPOT), has been proposed by the author. Using this technique, the preferred solution for the decision maker can be derived efficiently from among a Pareto optimal solution set by assessing his marginal rates of substitution and maximizing the local proxy preference functions sequentially. In this paper, based on the algorithm of SPOT, a computer program for multiobjective decision making with interactive procedures is presented and called ISPOT. The program is especially designed to facilitate the interactive processes for computer-aided decision making. After a brief description of the theoretical framework of SPOT, the computer program ISPOT is presented. The commands in this program and major prompt messages are also explained. An illustrative numerical example for the interactive processes is demonstrated and numerous insights are obtained