A possibilistic linear program is equivalent to a stochastic linear program in a special case

DOI10.1016/0165-0114(94)00364-7zbMath0856.90131OpenAlexW3111705864MaRDI QIDQ1920358

Masahiro Inuiguchi, Masatoshi Sakawa

Publication date: 23 February 1997

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(94)00364-7

zbMATH Keywords

multivariate normal distributionnecessity measurepossibilistic linear programming problemquadratic membership function

Mathematics Subject Classification ID

Stochastic programming (90C15) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (18)

Optimisation under hybrid uncertainty ⋮ On characterization of fuzzy vectors and its applications to fuzzy mathematical programming problems ⋮ On the complexity of minmax regret linear programming ⋮ Robust Optimization by Fuzzy Linear Programming ⋮ Foundational contributions of K. Asai and H. Tanaka to fuzzy optimization ⋮ Fuzzy decision making for multiobjective stochastic programming problems ⋮ A fuzzifying approach to stochastic programming ⋮ Nonlinear fuzzy chance constrained approach for multi-objective mixed fuzzy-stochastic optimization problem ⋮ Application of fuzzy sets to manufacturing/distribution planning decisions in supply chains ⋮ Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem ⋮ Necessity measure optimization in linear programming problems with fuzzy polytopes ⋮ A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values ⋮ Multi-period mixed production planning with uncertain demands: fuzzy and interval fuzzy sets approach ⋮ A stochastic soft constraints fuzzy model for a portfolio selection problem ⋮ A crop planning problem with fuzzy random profit coefficients ⋮ Fuzzy stochastic linear programming: survey and future research directions ⋮ Unnamed Item ⋮ An interactive satisficing method for solving multiobjective mixed fuzzy-stochastic programming problems

Cites Work

• Unnamed Item
• Unnamed Item
• Identification of possibilistic linear systems by quadratic membership functions of fuzzy parameters
• Relative modalities and their use in possibilistic linear programming
• Fuzzy and stochastic programming
• Fuzzy programming and linear programming with several objective functions
• Multidimensional least-squares fitting of fuzzy models
• Fuzzy versus stochastic approaches to multicriteria linear programming under uncertainty
• Possibilistic Linear Programming with Measurable Multiattribute Value Functions
• A GENERALIZED CHANCE CONSTRAINT PROGRAMMING PROBLEM
• A Stochastic Programming Model
• Stochastic Programming with Aspiration or Fractile Criteria

This page was built for publication: A possibilistic linear program is equivalent to a stochastic linear program in a special case