☆ 4.7 Review

Reinstatement of the Extension Principle in Approaching Mathematical Programming with Fuzzy Numbers

MATHEMATICS (2021)

Related references

Note: Only part of the references are listed.

Article Operations Research & Management Science

On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions

Sumati Mahajan et al.

Summary: Intuitionistic fuzzy set theory is a generalized version of classical fuzzy set theory. In this study, a balanced transportation problem with multiple objectives is formulated with all parameters and variables as intuitionistic fuzzy numbers. The algorithm proposed uses different membership functions to handle intuitionistic fuzzy constraints and various theorems are established to show the relations among different problems.

ANNALS OF OPERATIONS RESEARCH (2021)

Add to Collection

Article Computer Science, Theory & Methods

Optimization of fuzzy-valued functions using Zadeh's extension principle

Michael M. Diniz et al.

Summary: This paper presents a fuzzy optimization problem and proves that a specific point can provide the minimal value for the function and the local smallest fuzzy value for the extended function, using partial order relation and usual order relation. Examples are provided to illustrate the results.

FUZZY SETS AND SYSTEMS (2021)

Add to Collection

Proceedings Paper Computer Science, Artificial Intelligence

Empirical Versus Analytical Solutions to Full Fuzzy Linear Programming

Bogdana Stanojevic et al.

Summary: In this study, full fuzzy linear programming is approached by defining the optimal solution in the extension principle framework. A Monte Carlo simulation is used to compare empirically derived solutions with those proposed in the literature. Additionally, a model describing the membership function of the fuzzy set of feasible objective values is introduced, aiming to provide decision-makers with information on extreme values of the objective function under uncertain constraints.

INTELLIGENT METHODS IN COMPUTING, COMMUNICATIONS AND CONTROL (2021)

Add to Collection

Article Automation & Control Systems

From Classical Logic to Fuzzy Logic and Quantum Logic: A General View

S. Nadaban

Summary: This article aims to provide a concise and unified view on the algebraic connections between classical logic and its generalizations, such as fuzzy logic and quantum logic. The concept of lattice, which governs any type of logic, is highlighted as the basic tool in this study, with the use of Hilbert spaces theory discussed in relation to quantum logic.

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (2021)

Add to Collection

Article Automation & Control Systems

My Early Researches on Fuzzy Set and Fuzzy Logic

Y. Shi

Summary: This paper presents the author's works on fuzzy sets and fuzzy systems in early 1980's, including an isomorphic theorem on fuzzy subgroups and fuzzy series, and the convergence theorem of fuzzy integral type II contributed by Zhang Wenxiu and Zhao Ruhuai. Both types of fuzzy integrals have been important in engineering device design for the past 40 years.

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (2021)

Add to Collection

Article Automation & Control Systems

Approximate Membership Function Shapes of Solutions to Intuitionistic Fuzzy Transportation Problems

B. Stanojevic et al.

Summary: This paper proposes a mathematical model with disjunctive constraint system and improves the solution approach to transportation problems with trapezoidal fuzzy parameters. The approach is further extended to intuitionistic fuzzy parameters, and the fuzzy solutions obtained are compared to those from existing literature.

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (2021)

Add to Collection

Article Automation & Control Systems

Fuzzy Logic in Decision Support: Methods, Applications and Future Trends

H. Wu et al.

Summary: Fuzzy logic has seen significant developments in decision making, playing an important role in handling vague and uncertain information. Research in this field focuses on basic concepts of fuzzy logic, review and application of evaluation methods, prediction methods, and decision support algorithms.

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (2021)

Add to Collection

Article Automation & Control Systems

Information Volume of Fuzzy Membership Function

J. X. Deng et al.

Summary: The paper introduces a new method to calculate the information volume of fuzzy membership function, which includes both first-order and higher-order information volume. The efficiency of the proposed method is illustrated through several examples.

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (2021)

Add to Collection

Article Computer Science, Artificial Intelligence

Fermatean fuzzy sets

Tapan Senapati et al.

JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

An approach for solving fully fuzzy multi-objective linear fractional optimization problems

Rubi Arya et al.

SOFT COMPUTING (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

Fuzzy linear programming problems: models and solutions

Reza Ghanbari et al.

SOFT COMPUTING (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

JMD method for transforming an unbalanced fully intuitionistic fuzzy transportation problem into a balanced fully intuitionistic fuzzy transportation problem

Akansha Mishra et al.

SOFT COMPUTING (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

Fuzzy Numbers and Fractional Programming in Making Decisions

Bogdana Stanojevic et al.

INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING (2020)

Add to Collection

Review Mathematics

Lexicographic Methods for Fuzzy Linear Programming

Boris Perez-Canedo et al.

MATHEMATICS (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

A new effective solution method for fully intuitionistic fuzzy transportation problem

Ali Mahmoodirad et al.

SOFT COMPUTING (2019)

Add to Collection

Article Computer Science, Artificial Intelligence

On LR-type fully intuitionistic fuzzy linear programming with inequality constraints: Solutions with unique optimal values

Boris Perez-Canedo et al.

EXPERT SYSTEMS WITH APPLICATIONS (2019)

Add to Collection

Article Computer Science, Artificial Intelligence

A method to find the unique optimal fuzzy value of fully fuzzy linear programming problems with inequality constraints having unrestricted L-R fuzzy parameters and decision variables

Boris Perez-Canedo et al.

EXPERT SYSTEMS WITH APPLICATIONS (2019)

Add to Collection

Article Economics

Utilizing a new approach for solving fully fuzzy linear programming problems

Hamiden Abdelwahed Khalifa

CROATIAN OPERATIONAL RESEARCH REVIEW (2019)

Add to Collection

Article Computer Science, Artificial Intelligence

A new approach for solving fully intuitionistic fuzzy transportation problems

Ali Ebrahimnejad et al.

FUZZY OPTIMIZATION AND DECISION MAKING (2018)

Add to Collection

Article Engineering, Multidisciplinary

A revisit of numerical approach for solving linear fractional programming problem in a fuzzy environment

Ali Ebrahimnejad et al.

APPLIED MATHEMATICAL MODELLING (2018)

Add to Collection

Article Computer Science, Artificial Intelligence

A mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers

Sapan Kumar Das et al.

APPLIED INTELLIGENCE (2017)

Add to Collection

Article Automation & Control Systems

Fuzzy Logic Is Not Fuzzy: World-renowned Computer Scientist Lotfi A. Zadeh

I. Dzitac et al.

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (2017)

Add to Collection

Article Computer Science, Artificial Intelligence

A novel method for solving fully fuzzy linear fractional programming problems

Jagdeep Kaur et al.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS (2017)

Add to Collection

Article Operations Research & Management Science

A NEW APPROACH FOR SOLVING FULLY FUZZY LINEAR FRACTIONAL PROGRAMMING PROBLEMS USING THE MULTI-OBJECTIVE LINEAR PROGRAMMING

Sapan Kumar Das et al.

RAIRO-OPERATIONS RESEARCH (2017)

Add to Collection

Article Computer Science, Artificial Intelligence

Fractional transportation problem with fuzzy parameters

Shiang-Tai Liu

SOFT COMPUTING (2016)

Add to Collection

Article Engineering, Multidisciplinary

Solving the linear fractional programming problem in a fuzzy environment: Numerical approach

Veeramani Chinnadurai et al.

APPLIED MATHEMATICAL MODELLING (2016)

Add to Collection

Article Computer Science, Theory & Methods

On approximations of Zadeh's extension principle

Jiri Kupka

FUZZY SETS AND SYSTEMS (2016)

Add to Collection

Article Engineering, Multidisciplinary

Computationally simple approach for solving fully intuitionistic fuzzy real life transportation problems

P. Senthil Kumar et al.

INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT (2016)

Add to Collection

Article Engineering, Multidisciplinary

A note on A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem

Bindu Bhardwaj et al.

APPLIED MATHEMATICAL MODELLING (2015)

Add to Collection

Article Engineering, Multidisciplinary

A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem

R. Ezzati et al.

APPLIED MATHEMATICAL MODELLING (2015)

Add to Collection

Article Computer Science, Theory & Methods

Progress on Fuzzy Mathematical Programming: A personal perspective

Jose Luis Verdegay

FUZZY SETS AND SYSTEMS (2015)

Add to Collection

Article Economics

ON THE RATIO OF FUZZY NUMBERS - EXACT MEMBERSHIP FUNCTION COMPUTATION AND APPLICATIONS TO DECISION MAKING

Bogdana Stanojevic et al.

TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY (2015)

Add to Collection

Article Operations Research & Management Science

A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems

Izaz Ullah Khan et al.

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2013)

Add to Collection

Article Operations Research & Management Science

Methods for solving unbalanced fuzzy transportation problems

Amit Kumar et al.

OPERATIONAL RESEARCH (2012)

Add to Collection

Article Engineering, Multidisciplinary

A new method for solving fully fuzzy linear programming problems

Amit Kumar et al.

APPLIED MATHEMATICAL MODELLING (2011)

Add to Collection

Article Computer Science, Theory & Methods

The role of fuzzy sets in decision sciences: Old techniques and new directions

Didier Dubois

FUZZY SETS AND SYSTEMS (2011)

Add to Collection

Article Engineering, Multidisciplinary

Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution

F. Hosseinzadeh Lotfi et al.

APPLIED MATHEMATICAL MODELLING (2009)

Add to Collection

Review Computer Science, Information Systems

Is there a need for fuzzy logic?

Lotfi A. Zadeh

INFORMATION SCIENCES (2008)

Add to Collection

Article Mathematics, Applied

A method of solving fully fuzzified linear fractional programming problems

Bogdana Pop et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2008)

Add to Collection

Article Management

Solving fuzzy transportation problems based on extension principle

ST Liu et al.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH (2004)

Add to Collection

Article Computer Science, Theory & Methods

Fuzzy mathematical programming for multi objective linear fractional programming problem

M Chakraborty et al.

FUZZY SETS AND SYSTEMS (2002)

Add to Collection

Article Computer Science, Theory & Methods

Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming

JJ Buckley et al.

FUZZY SETS AND SYSTEMS (2000)

Add to Collection

© Peeref 2019-2024. All rights reserved.