A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making

DOI10.1016/j.ejor.2011.11.042zbMath1244.90210OpenAlexW2021388613MaRDI QIDQ439581

Fang Liu, Wei-Guo Zhang, Zhong-Xing Wang

Publication date: 16 August 2012

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2011.11.042

zbMATH Keywords

consistencygoal programming modelgroup decision-makingincomplete interval multiplicative preference relationIWGA operator

Mathematics Subject Classification ID

Decision theory (91B06) Multi-objective and goal programming (90C29) Management decision making, including multiple objectives (90B50) Group preferences (91B10)

Related Items

Acceptably consistent incomplete interval-valued intuitionistic multiplicative preference relations ⋮ Multi-criteria group decision making based on bilateral agreements ⋮ Boundary properties of the inconsistency of pairwise comparisons in group decisions ⋮ A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices ⋮ A note on ``A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making ⋮ The strength of coalition in a dispersed decision support system with negotiations ⋮ An axiomatic approach to approximation-consistency of triangular fuzzy reciprocal preference relations ⋮ Multiplicative data envelopment analysis cross-efficiency and stochastic weight space acceptability analysis for group decision making with interval multiplicative preference relations ⋮ Decision making with incomplete interval multiplicative preference relations based on stochastic program and interval category ⋮ Logarithmic least squares approaches to deriving interval weights, rectifying inconsistency and estimating missing values for interval multiplicative preference relations ⋮ A new consensus model for group decision making using fuzzy linguistic preference relations with heterogeneous experts ⋮ Conditions of two methods for estimating missing preference information ⋮ Visual information feedback mechanism and attitudinal prioritisation method for group decision making with triangular fuzzy complementary preference relations ⋮ An approach to incomplete multiplicative preference relations and its application in group decision making ⋮ A new fuzzy programming method to derive the priority vector from an interval reciprocal comparison matrix ⋮ The optimal group continuous logarithm compatibility measure for interval multiplicative preference relations based on the COWGA operator ⋮ Group decision making based on incomplete intuitionistic multiplicative preference relations ⋮ Group decision making systems using group recommendations based on interval fuzzy preference relations and consistency matrices ⋮ Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions ⋮ An outranking-based general approach to solving group multi-objective optimization problems ⋮ A consensus-based method for group decision making with incomplete uncertain linguistic preference relations ⋮ Consistency analysis of triangular fuzzy reciprocal preference relations ⋮ Multiplicative consistency-based decision support system for incomplete linguistic preference relations ⋮ Consistency and consensus modeling of linear uncertain preference relations ⋮ On continuity of the entropy-based differently implicational algorithm ⋮ A PSO-based group decision making model with multiplicative reciprocal matrices under flexibility ⋮ A group decision making model based on a generalized ordered weighted geometric average operator with interval preference matrices ⋮ A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts

Cites Work

• Unnamed Item
• Unnamed Item
• A heuristic method to rectify intransitive judgments in pairwise comparison matrices
• Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation
• A fuzzy extension of Saaty's priority theory
• A goal programming method for obtaining interval weights from an interval comparison matrix
• Interval articulation of superiority and precise elicitation of priorities
• Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations
• Approximate articulation of preference and priority derivation
• Note on group consistency in analytic hierarchy process
• Acceptable consistency analysis of interval reciprocal comparison matrices
• Fuzzy preference orderings in group decision making
• Uncertainty and rank order in the analytic hierarchy process
• A scaling method for priorities in hierarchical structures
• Decision-making with a fuzzy preference relation
• Preference programming and inconsistent interval judgments
• Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations
• Preference simulation and preference programming: Robustness issues in priority derivation
• A consistency improving method in the analytic hierarchy process
• Linear programming models for estimating weights in the analytic hierarchy process
• Managing non-homogeneous information in group decision making
• A note on the internal consistency of various preference representations
• Least-square method to priority of the fuzzy preference relations with incomplete information
• Incomplete pairwise comparison and consistency optimization
• Group decision-making procedure based on incomplete reciprocal relations
• A two-stage logarithmic goal programming method for generating weights from interval comparison matrices
• Analytic hierarchy process: an overview of applications
• A NOTE ON THE ESTIMATION OF MISSING PAIRWISE PREFERENCE VALUES: A UNINORM CONSISTENCY BASED METHOD
• Group decision making with incomplete fuzzy linguistic preference relations
• Matrix Analysis
• INDIVIDUAL AND SOCIAL STRATEGIES TO DEAL WITH IGNORANCE SITUATIONS IN MULTI-PERSON DECISION MAKING
• A consistency-based procedure to estimate missing pairwise preference values
• On consistency of the weighted geometric mean complex judgement matrix in AHP
• Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations.