ORDERING OF CONVEX FUZZY SETS : A BRIEF SURVEY AND NEW RESULTS
スポンサーリンク
概要
- 論文の詳細を見る
Concerning with the topics of a fuzzy max order, a brief survey on ordering of fuzzy numbers is presented in this article, and we will consider an extension to that of fuzzy sets. An extension of the fuzzy max order as a pseudo order is investigated and defined on a class of fuzzy sets on R^n (n >__- 1). This order is developed by using a non-empty closed convex cone and characterized by the projection into its dual cone. Especially a structure of the lattice can be illustrated with the class of rectangle-type fuzzy sets.
- 社団法人日本オペレーションズ・リサーチ学会の論文
著者
-
安田 正實
千葉大学理学部
-
吉田 祐治
北九州市立大学
-
中神 潤一
千葉大学理学部
-
吉田 祐治
北九州市立大学経済学部
-
安田 正実
千葉大学理学部
-
Kurano M
千葉大学教育学部
-
Kurano Masami
Chiba University
-
Yasuda Masami
Chiba University
-
Nakagami Jun-ichi
Chiba University
-
Yoshida Yuji
Kitakyushu University
-
中神 潤一
千葉大学
関連論文
- 2-G-5 An Optimal Value-at-Risk Portfolio Model
- 不確実性の下でのマルコフ決定過程に対する区間ベイズ手法 (不確実性と意思決定の数理)
- マルコフ決定過程における TD 法による学習アルゴリズムについて(最適化問題における確率モデルの展開と応用)
- 最適値関数に表れる黄金比(最適化問題における確率モデルの展開と応用)
- Dynamic Programming creates The Golden Ratio, too(Mathematical Models and Decision Making under Uncertainty)
- A pattern-matrix learning algorithm for adaptive MDPs : The regularly communicating case (Theory and Application of Decision Analysis in Uncertain Situation)
- A learning algorithm for communicating Markov decision processes with unknown transition matrices(Mathematical Models and Decision Making under Uncertainty)
- Product possibility space with finitely many independent fuzzy vectors (非加法性の数理と情報:非加法性と凸解析--RIMS研究集会報告集)
- Regret-optimal policies in absorbing semi-Markov decision processes with multiple constraints(The Development of Information and Decision Processes)
- Fuzzy Perceptive Values for MDPs with Discounting (Mathematical Theory and Applications of Uncertainty Sciences and Decision Making)
- Fuzzy perceptive values for stopping models and MDPs
- Dynamic Decision Making with Fuzzy Preferences as a Utility Function (不確実で動的なシステムへの最適化理論とその展開 短期共同研究報告集)
- Regret-Optimality Equation in Semi-MDP's with an Absorbing Set (Mathematical Programming Concerning Decision Makings and Uncertainties)
- A Dynamic Decision Making Model with an Objective Function based on Fuzzy Preferences
- A Discrete-Time Consumption and Wealth Model with Uncertainty
- A Fuzzy Stopping Problem with the Concept of Perception (Mathematics of Decision-making under uncertainty)
- ファジィ確率変数の最適化問題とファイナンスへの応用 (動的システム最適化理論の展開とその応用)
- 区間値およびファジー値をもつ行列ゲーム (動的システム最適化理論の展開とその応用)
- American Options with Uncertainty of the Stock Prices : The Discrete-Time Model (Mathematical Decision Making under Uncertainty)
- A note on interval games and their saddle points (Mathematical Optimization Theory and its Algorithm)
- Perception-based extension of probability models and its application to finance (非加法性の数理と情報:非加法性と凸解析--RIMS研究集会報告集)
- 2-G-3 Mean values on intervals with aggregation operations
- 1-E-1 A Risk-Minimizing Problem under Uncertainty in Portfolio
- 1-B-4 Confidence intervals of mean values under uncertainty
- Option Pricing Models in an Uncertain Environment
- Markov decision processes with fuzzy rewards (Perspective and problem for Dynamic Programming with uncertainty)
- On a Fuzzy Extension of Stopping Times (Perspective and problem for Dynamic Programming with uncertainty)
- Degree of Order regarding Multidimensional Fuzzy Sets (Mathematical Modeling and Optimization under Uncertainty)
- Fuzzy Stopping in Continuous-Time Systems with Randomness and Fuzziness (Mathematical Modeling and Optimization under Uncertainty)
- A monotone convergence theorem for a sequence of convex fuzzy sets on $\mathbb{R}^n$ (Mathematical Science of Optimization)
- A fuzzy treatment of uncertain Markov decision processes : Average case (Mathematical Decision Making under uncertainty and ambiguity)
- A fuzzy treatment of uncertain Markov decision processes (Continuous and Discrete Mathematics for Optimization)
- Sequences of Fuzzy Sets on $\mathbb{R}^n$ (Decision Theory in Mathematical Modelling)
- ファジィ・システムにおける意思決定の展開(確率ファジィ解析とその周辺)
- On Optimal Stopping of a Sequence of Random Variables with Fuzziness
- Some Pseudo-Order of Fuzzy Sets on $\mathbb{R}^n$
- The Limiting Behavior of Fuzzy States in Dynamic Fuzzy Systems (Dynamic Decision Systems under Uncertain Environments)
- The Optimal Stopping Problem for Fuzzy Random Sequences (Decision Theory and Its Related Fields)
- Optimal Stopping in a Continuous-Time Dynamic Fuzzy System.
- A Continuous-Time Dynamic Fuzzy System(Optimization Methods for Mathematical Systems with Uncertainty)
- Duality for an Optimal Stopping Problem in Dynamic Fuzzy Systems
- ファジィ利得を伴う動的ファジィ・システムの最適停止問題について(区間解析・ファジィ)
- Recurrent Sets for Dynamic Fuzzy Systems(Optimization Theory and its Applications in Mathematical Systems)
- An optimal stopping problem for fuzzy dynamic programming(Mathematical Structure of Optimization Theory)
- A POTENTIAL OF FUZZY RELATIONS WITH A LINEAR STRUCTURE : THE UNBOUNDED CASE(MATHEMATICAL OPTIMIZATION AND ITS APPLICATIONS)
- A POTENTIAL OF FUZZY RELATIONS WITH A LINEAR STRUCTURE : THE CONTRACTIVE CASE(MATHEMATICAL OPTIMIZATION AND ITS APPLICATIONS)
- ディンキンゲームとその多数回停止モデルへの拡張(最適タイミングの数理)
- ORDERING OF CONVEX FUZZY SETS : A BRIEF SURVEY AND NEW RESULTS
- 零加法性 Lusin 定理による Fuzzy neural network の近似について(非加法の数理と情報 : 函数解析の視点から)
- Further properties of null-additive fuzzy measure on metric spaces (Mathematical Theory and Applications of Uncertainty Sciences and Decision Making)
- NON-DISCOUNTED OPTIMAL POLICIES IN CONTROLLED MARKOV SET-CHAINS
- Stopped Decision Processes with General Utility (Dynamic Decision Systems under Uncertain Environments)
- A utility deviation in discounted Markov decision processes with general utility
- DISCOUNTED MARKOV DECISION PROCESSES WITH GENERAL UTILITY FUNCTIONS(Optimization Theory and its Applications in Mathematical Systems)
- MDPにおける効用関数とモーメント最適性(確率モデル(1))
- Constrained Markov Decision Processes With Compact State And Action Sspaces : The Average Case (Dynamic Decision Systems under Uncertain Environments)
- Fuzzy Decision Processes with an Average Reward Criterion(Discrete and Continuous Structures in Optimization)
- Dynamic Fuzzy Systems with Time Average Rewards(Optimization Theory and its Applications in Mathematical Systems)
- Markov-Type Fuzzy Decision Processes with a Discounted Reward on a Closed Interval(Mathematical Structure of Optimization Theory)
- Game Theoretic Analysis for an Optimal Stopping Problem in Some Class of Distribution Functions
- 多人数資産処分問題のgame解について(決定理論とその周辺)
- 千葉県の高等学校における確率・統計の教育に関する調査
- 単調ルールによる多変量停止問題
- 多数決ルールによる多変量停止問題
- Multi-Variate Stopping Problem with a Monotone Logical Rule (決定過程論とその周辺)
- 多人数による最適停止問題(ストッピング・ルール)
- 二種類の倉庫をもつ陳腐化する在庫問題