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Probe: Learning Users' Personal Projection Bias in Inter-Temporal Choices

IEEE TRANSACTIONS ON SIGNAL PROCESSING 2024年 72卷 928-941页

作者： Li, Qingming Zhao, H. Vicky Zhejiang Lab Res Inst Artificial Intelligence Hangzhou 311100 Peoples R China Tsinghua Univ Beijing Natl Res Ctr Informat Sci & Technol Dept Automat Beijing 100084 Peoples R China

Inter-temporal choices involve making decisions that require weighing costs in the present against benefits in the future. One specific type of inter-temporal choice is the decision between purchasing an individual item at full price or opting for a bundle including that item at a discounted price. Previous works assume that users have accurate expectations of factors involved in these decisions. However, in reality, users' perceptions of these factors are often biased, leading to irrational and suboptimal decision-making. In this work, we focus on two commonly observed biases: the projection bias and the reference-point effect. To address these biases, we propose a novel bias-embedded preference model called Probe. Probe introduces prospect theory from behavioral economics to model these biases, which incorporates a weight function to capture the projection bias and a value function to account for the reference-point effect. We propose a new method to learn users' individual projection biases from historical records and present four methods to estimate the reference point within the value function. We theoretically analyze the impact of projection bias on bundle pricing strategies. Through experimental results, we show that the proposed Probe model outperforms existing methods and leads to a better understanding of users' behaviors in bundle purchases. This investigation can facilitate a deeper comprehension of users' decision-making processes, enable personalized services, and help sellers design better product bundling strategies.

关键词： Behavioral sciences Decision making Pricing Probes Games Costs Context modeling Projection bias reference-point effect bundle purchases choice problems preference modeling

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A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2010年第6期60卷 1557-1570页

作者： Li, Deng-Feng Fuzhou Univ Sch Management Fuzhou 350108 Fujian Peoples R China

The concept of an intuitionistic fuzzy number (IFN) is of importance for quantifying an ill-known quantity, and the ranking of IFNs is a very difficult problem. The aim of this paper is to introduce the concept of a triangular IFN (TIFN) as a special case of the IFN and develop a new methodology for ranking TIFNs. Firstly the concepts of TIFNs and cut sets as well as arithmetical operations are introduced. Then the values and ambiguities of the membership function and the non-membership function for a TIFN are defined. A new ranking method is developed on the basis of the concept of a ratio of the value index to the ambiguity index and applied to multiattribute decision making problems in which the ratings of alternatives on attributes are expressed with TIFNs. The validity and applicability of the proposed method, as well as analysis of the comparison with other methods, are illustrated with a real example. (C) 2010 Elsevier Ltd. All rights reserved.

关键词： Fuzzy set Intuitionistic fuzzy number Ranking Uncertainty preference modeling

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Utility with fuzzy numbers

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FUZZY SETS AND SYSTEMS 2022年 434卷 88-97页

作者： Prati, Nando Univ Udine Dipartimento Sci Econ & Stat Via Tomadini 30-A I-33100 Udine Italy

In this paper, we introduce crisp utility functions with range in the class of fuzzy numbers. These utility functions can be employed to prove a generalization of the classical result of Cantor using partially ordered sets as domain of the utility functions. In particular, for every partially ordered countable set, we prove that it can be represented by an order preserving function (utility). (c) 2021 Elsevier B.V. All rights reserved.

关键词： Fuzzy numbers Economics Utility Order isomorphism preference modeling

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The 'Light Beam Search' approach - an overview of methodology and applications

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1999年第2期113卷 300-314页

作者： Jaszkiewicz, A Slowinski, R Poznan Univ Technol Inst Comp Sci PL-60965 Poznan Poland

The paper gives a general overview of the Light Beam Search (LBS) methodology and applications. LBS enables an interactive analysis of multiple-objective decision problems due to presentation of samples of a large set of nondominated points, to the decision maker (DM) in each iteration. A local preference model in the form of an outranking relation is used to define the neighborhood of a current non-dominated point the sample comes from. The first current point is obtained by projection of an aspiration point onto the non-dominated set in the direction of a reservation point. The DM can control the search by either modifying the aspiration and reservation points, or by shifting the current point to a selected better point from its neighborhood. The paper describes applications of the approach to several real life problems and discusses observations made while working on these problems. The LBS approach is compared to other existing methods and the class of problems suitable to this methodology is defined. (C) 1999 Elsevier Science B.V. All rights reserved.

关键词： multiple-objective mathematical programming interactive procedure preference modeling outranking relation aspiration and reservation points

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Heterogeneous Interrelationships among Attributes in Multi-Attribute Decision-Making: An Empirical Analysis

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INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 2019年第2期12卷 984-997页

作者： Chen, Zhen-Song Zhang, Xuan Rodriguez, Rosa M. Wang, Xian-Jia Chin, Kwai-Sang Wuhan Univ Sch Civil Engn Wuhan Peoples R China City Univ Hong Kong Sch Data Sci Hong Kong Peoples R China Univ Jaen Dept Comp Sci Jaen Spain Wuhan Univ Econ & Management Sch Wuhan Peoples R China City Univ Hong Kong Dept Syst Engn & Engn Management Hong Kong Peoples R China

Tremendous effort has been exerted over the past few decades to construct multi-attribute decision functions with the capacity to model heterogeneous interrelationships among attributes. In this paper, we report an empirical study aiming to test whether or not considering interrelationships among attributes can benefit the representation of real preferences in multi-attribute ranking tasks. The generalized extended Bonferroni mean (GEBM) has recently been advocated as a promising and efficient tool for modeling heterogeneous interrelationships among attributes. We compare the GEBM with one of its most widely adopted competitors, simple additive weighting (SAW), in terms of their fitting quality when applied to preference elicitation. The attribute performances are manifested uniformly with the use of three widely-adopted utility measurements. Subsequently afterwards, the maximum split approach to establish the constraint objective function in regression for both the GEBM and the SAW to test whether or not all constraints resulting from the subject's ranking can be fulfilled. On this bases, the number of fully or partly fitted subjects, consistency for subjects according to the better fitting model, and reliability of attribute weights learned by either the GEBM or the SAW are empirically examined in a bid to demonstrate the quantitative construction of fitting quality measurement. With the established fitting quality measurement, the necessity of taking heterogeneous interrelationships among attributes into account when constructing multi-attribute decision functions to represent real preferences can be analyzed. The main conclusion from the empirical study suggests that the relative performance of the two aggregation paradigms examined here depends on which fitting quality measurements are adopted. Researchers enthusiastic to discover the heterogeneous interrelationships among attributes when constructing multi-attribute decision functions might find the present re

关键词： Heterogeneous interrelationships Generalized extended Bonferroni mean Simple additive weighting preference modeling Multi-attribute decision function

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Revisiting Fuzzy and Linguistic Decision Making: Scenarios and Challenges for Making Wiser Decisions in a Better Way

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IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 2021年第1期51卷 191-208页

作者： Herrera-Viedma, Enrique Palomares, Ivan Li, Cong-Cong Cabrerizo, Francisco Javier Dong, Yucheng Chiclana, Francisco Herrera, Francisco Univ Granada Andalusian Res Inst Data Sci & Computat Intellige Granada 18071 Spain Southwest Jiaotong Univ Sch Econ & Management Chengdu 610031 Peoples R China Sichuan Univ Ctr Network Big Data & Decis Making Business Sch Chengdu 610065 Peoples R China De Montfort Univ Sch Comp Sci & Informat Inst Artificial Intelligence Leicester LE1 9BH Leics England

This article provides a brief tour through the main fuzzy and linguistic decision-making trends, studies, methodologies, and models developed in the last 50 years. Fuzzy and linguistic decision-making approaches allow to address complex real-world decision problems where humans exhibit vagueness, imprecision, and/or use natural language to assess decision alternatives, criteria, etc. The aim of this article is threefold. First, the main fuzzy set theory and computing with words-based representation paradigms of decision information, with their different levels of expressive richness and complexity, are reviewed. Second, three core decision-making frameworks are examined: 1) multicriteria decision making;2) group consensus-driven decision making;and 3) multiperson multicriteria decision making. Third, the article discusses new complex decision-making frameworks that have emerged in recent years, where decisions are guided by the "wisdom of the crowd": their associated challenges are highlighted and considerations on much needed key guidelines for future research in the field are provided.

关键词： Consensus reaching processes (CRPs) fuzzy decision making fuzzy sets group decision making (GDM) linguistic decision making multicriteria decision making (MCDM) preference modeling

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WWW-based negotiation support: design, implementation, and use

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DECISION SUPPORT SYSTEMS 1999年第2期25卷 135-154页

作者： Kersten, GE Noronha, SJ Int Inst Appl Syst Anal Decis Anal & Support Project A-2361 Laxenburg Austria Carleton Univ Ctr Comp Assisted Management Ottawa ON K1S 5B6 Canada IBM Corp Div Res TJ Watson Res Ctr Yorktown Heights NY 10598 USA

Support for international negotiations requires integration of decision-theoretic approaches with communication facilities, and different visualization modes. In addition, negotiation support systems (NSS) should also be tailored to different cultural and educational backgrounds of their users. While there have been studies on cross-cultural negotiations involving simple game or economic models, there have been no experiments with NSS in international and cross-cultural contexts. At the same time the emergence and quickly spreading use of the World Wide Web (WWW) and electronic commerce indicates the potential of NSS supporting commercial transactions across borders. This paper presents INSPIRE, the first Web-based NSS that has been tested and used in teaching and training in several countries. Developed in the context of a cross-cultural study of decision making and negotiation, it has been primarily used to conduct and study negotiation via WWW as well as in teaching and training. The architecture of INSPIRE, which relies heavily on the net-centric computing paradigm and object oriented design, is also discussed. (C) 1999 Elsevier Science B.V. All rights reserved.

关键词： negotiation analysis Web-based support systems negotiation support systems bilateral negotiations preference modeling conjoint analysis object-oriented design cross-cultural negotiation Net-centric computing

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Fusion of preferences from different perspectives in a decision-making context

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INFORMATION FUSION 2016年 29卷 120-131页

作者： Tapia-Rosero, A. Bronselaer, A. De Mol, R. De Tre, G. Escuela Super Politecn Litoral Dept Elect & Comp Engn Guayaquil Ecuador Univ Ghent Dept Telecommun & Informat Proc B-9000 Ghent Belgium

Solving a decision-making problem about a brand-new product might include preferences from a high number of potential customers (e.g., followers of a company on social media) and managerial constraints (or preferences) given by corporate managers with regard to different aspects (i.e., economical, technical, environmental, etc.) over multiple criteria (e.g., weight, capacity, color, or usefulness of a product). These give us some new insights on fusing preferences given by persons having different perspectives (e.g., economical, technical, environmental, etc.), including decision-makers, and aimed to be suitable for different organizational structures (e.g., multilevel structures). Herein, a proper representation is needed to merge preferences from each perspective, enabling their propagation, throughout an organizational structure until the level in which a decision is made. This representation is presented as a decision-making unit (DMU), and is used as the primary component of our decision-making model. In this paper, we propose a novel decision-making model that recursively merges the preferred criteria from different DMUs using the logic scoring of preference (ISP) method. An illustrative example demonstrating the applicability of the proposed model, in the context of a new product design, is included in the paper. (C) 2015 Elsevier B.V. All rights reserved.

关键词： Decision-making unit Different perspectives Multilevel fusion preference modeling Recursive LSP

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On multiplicative priority rating methods for the AHP

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2003年第1期145卷 92-108页

作者： Stam, A Silva, APD Univ Missouri Coll Business Dept Management Columbia MO 65211 USA Univ Catolica Portuguesa Porto Fac Ciencias Econ & Empresariais P-4150 Porto Portugal

Recently, several alternative variants to the original Analytic Hierarchy Process (AHP) have been proposed. Most of these sought to resolve some of the theoretical problems associated with the original AHP, which uses an additive preference aggregation. In this paper, we take a close look at the multiplicative ratings method, which has recently received growing attention. The interest in the multiplicative AHP (MAHP) is motivated by the fact that, in contrast with the original AHP, it precludes certain types of rank reversals as the composite priority ratings continue to follow a ratio scale, even after normalization. The purpose of this paper is threefold. First, we derive and discuss several interesting properties of the MAHP that have eluded attention in previous studies. Second, we argue that these properties of the MAHP are interesting not only for mathematical reasons but also on behavioral grounds. We show how the MAHP offers it more flexible preference modeling framework, while still preserving the ratio scale property, by relaxing the "constant returns to scale" assumption made in previous research. Third, we use simulation experiments to explore the extent to which the theoretical differences between the original AHP (additive AHP) play out computationally for various different types of preference structures, enabling us to assess whether the MAHP is merely an interesting theoretical construct, or can in fact make a substantial difference in terms of the rankings and ratings of the alternatives and rank reversals between the alternatives. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： decision analysis multicriteria decision making preference modeling

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A bilattice-based framework for handling graded truth and imprecision

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INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 2007年第1期15卷 13-41页

作者： Deschrijver, Glad Arieli, Ofer Cornelis, Chris Kerre, Etienne E. Univ Ghent Dept Appl Math & Comp Sci B-9000 Ghent Belgium Acad Coll Tel Aviv Dept Comp Sci IL-61161 Tel Aviv Israel

We present a family of algebraic structures, called rectangular bilattices, which serve as a natural accommodation and powerful generalization to both intuitionistic fuzzy sets (IFSs) and interval-valued fuzzy sets (IVFSs). These structures are useful on one hand to clarify the exact nature of the relationship between the above two common extensions of fuzzy sets, and on the other hand provide an intuitively attractive framework for the representation of uncertain and potentially conflicting information. We also provide these structures with adequately defined graded versions of the basic logical connectives, and study their properties and relationship. Application potential and intuitive appeal of the proposed framework are illustrated in the context of preference modeling.

关键词： bilattices intuitionistic fuzzy sets interval-valued fuzzy sets graded logical connectives preference modeling

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