Search the World's Largest Database of Information Science & Technology Terms & Definitions
InfInfoScipedia LogoScipedia
A Free Service of IGI Global Publishing House
Below please find a list of definitions for the term that
you selected from multiple scholarly research resources.

What is Fuzzy Set

Chapter 4
Multi-Criteria Decision Analysis in Management
A set of ordered pairs composed of the elements and corresponding degrees of membership to this set.
Published in Chapter:
Hybrid Multi-Criteria Models: Joint Health and Safety Unit Selection on Hybrid Multi-Criteria Decision Making
Ömer Faruk Efe (Afyon Kocatepe University, Turkey)
Copyright: © 2020 |Pages: 23
DOI: 10.4018/978-1-7998-2216-5.ch004
Abstract
JHSUs should have occupational safety specialists, workplace physicians, and other health personnel to establish and provide services. To provide occupational safety services in the most effective operating environment, it is necessary to select the most appropriate JHSU. This chapter provides a hybrid model to assist the JHSU selection process. Using fuzzy logic linguistic variables makes an important contribution to decision making in uncertain environment. The hybrid model using Fuzzy AHP (Analytical Hierarchy Process) and Fuzzy TOPSIS (Technique for Similarity Sorting Preference for Ideal Solution) approaches were used in JHSU selection. The most important criterion was found to be the references of JHSU. Candidate JHSUs were evaluated on the basis of criteria with fuzzy TOPSIS. Five alternative JHSU were evaluated. Alternative 2 was found to be the most appropriate choice. A numerical example is presented to demonstrate the effectiveness of the proposed hybrid model.
Full Text Chapter Download: US $37.50 Add to Cart
More Results
Chapter 8
Adaptive Neuro-Fuzzy Inference System in Agriculture
Fuzzy set is expressed as a function and the elements of the set are mapped into their degree of membership. A set with the fuzzy boundaries are “hot,” “medium,” or “cold” for temperature.
Published in Chapter: Adaptive Neuro-Fuzzy Inference System in Agriculture; From: Fuzzy Expert Systems and Applications in Agricultural Diagnosis
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 143
Intuitionistic Fuzzy Image Processing
A generalization of the definition of the classical set. A fuzzy set is characterized by a membership function, which maps the members of the universe into the unit interval, thus assigning to elements of the universe degrees of belongingness with respect to a set.
Published in Chapter: Intuitionistic Fuzzy Image Processing; From: Encyclopedia of Artificial Intelligence
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 13
Rough Approximations on Hesitant Fuzzy Sets
An extension of a classical notion of a set whose elements have degrees of membership.
Published in Chapter: Rough Approximations on Hesitant Fuzzy Sets; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 12
Application of Fuzzy Analytic Hierarchy Process for Evaluation of Ankara-Izmir High-Speed Train Project
Contrary to the classical sets, the approach that reveals that in fuzzy sets, the membership degrees of the elements can vary infinitely in the range [0, 1].
Published in Chapter: Application of Fuzzy Analytic Hierarchy Process for Evaluation of Ankara-Izmir High-Speed Train Project; From: AI-Based Services for Smart Cities and Urban Infrastructure
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 11
Multilevel and Color Image Segmentation by NSGA II Based OptiMUSIG Activation Function
The ambiguity, vagueness and uncertainty in real world knowledge bases can be determined by this soft computing technique.
Published in Chapter: Multilevel and Color Image Segmentation by NSGA II Based OptiMUSIG Activation Function; From: Handbook of Research on Advanced Hybrid Intelligent Techniques and Applications
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 1
On Theory of Multisets and Applications
One of the earliest uncertainty based models proposed by L.A.Zadeh in 1965 that assigns graded memberships to elements instead of binary membership provided by Crisp sets.
Published in Chapter: On Theory of Multisets and Applications; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 20
A Hybrid GA-GSA Algorithm for Optimizing the Performance of an Industrial System by Utilizing Uncertain Data
Any set that allows its members to have different grades of membership (membership function) in the interval [0,1]. A numerical value between 0 and 1 that represents the degree to which an element belongs to a particular set, also referred to as membership value.
Published in Chapter: A Hybrid GA-GSA Algorithm for Optimizing the Performance of an Industrial System by Utilizing Uncertain Data; From: Handbook of Research on Artificial Intelligence Techniques and Algorithms
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 281
Application of Soft Set in Game Theory
Fuzzy sets are an extension of the classical notion of sets whose elements have degrees of membership.
Published in Chapter: Application of Soft Set in Game Theory; From: Encyclopedia of Information Science and Technology, Fourth Edition
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 30
Fuzzy System Dynamics of Manpower Systems
A set whose elements have degrees of membership, as opposed to a classical set.
Published in Chapter: Fuzzy System Dynamics of Manpower Systems; From: Handbook of Research on Novel Soft Computing Intelligent Algorithms: Theory and Practical Applications
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 61
Introduction to Fuzzy Logic and Fuzzy Linear Programming
A fuzzy set on a classical set ? is defined as follows: The MF µA(x) quantifies the grade of membership of the elements x to the fundamental set ?.
Published in Chapter: Introduction to Fuzzy Logic and Fuzzy Linear Programming; From: Encyclopedia of Decision Making and Decision Support Technologies
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 6
Estimating Levels of Learning Outcomes Acquirement Based on Fuzzy Sets, Relations, and Their Compositions
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 14
Predicting Uncertain Behavior and Performance Analysis of the Pulping System in a Paper Industry using PSO and Fuzzy Methodology
A fuzzy set is any set that allows its members to have different grades of membership (membership function) in the interval [0,1]. A numerical value between 0 and 1 that represents the degree to which an element belongs to a particular set, also referred to as membership value.
Published in Chapter: Predicting Uncertain Behavior and Performance Analysis of the Pulping System in a Paper Industry using PSO and Fuzzy Methodology; From: Handbook of Research on Novel Soft Computing Intelligent Algorithms: Theory and Practical Applications
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 8
Application of Rough Set Based Models in Medical Diagnosis
This is yet another imprecise model introduced by L.A. Zadeh in 1965, where the concept of membership function was introduced. Unlike crisp sets here the belongingness of elements to a fuzzy set are graded in the sense that these values can lie in the interval [0, 1].
Published in Chapter: Application of Rough Set Based Models in Medical Diagnosis; From: Handbook of Research on Computational Intelligence Applications in Bioinformatics
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 8
Fuzzy System Dynamics: An Application to Supply Chain Management
A set whose elements have degrees of membership rather than full membership or non-membership as in conventional crisp set. A fuzzy set has no sharp boundary.
Published in Chapter: Fuzzy System Dynamics: An Application to Supply Chain Management; From: Handbook of Research on Novel Soft Computing Intelligent Algorithms: Theory and Practical Applications
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 9
Enhanced Fuzzy Assessment Methodology to Find Overlapping in Membership Function Using K Ratio to Find the Yield of Rice
A fuzzy set is a set without a crisp, clearly defined boundary. It can contain elements with only a partial degree of membership.
Published in Chapter: Enhanced Fuzzy Assessment Methodology to Find Overlapping in Membership Function Using K Ratio to Find the Yield of Rice; From: Fuzzy Expert Systems and Applications in Agricultural Diagnosis
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 12
Evaluation of Hotel Web Pages According to User Suitability
A set of ordered pairs composed of the elements and corresponding degrees of membership to this set.
Published in Chapter: Evaluation of Hotel Web Pages According to User Suitability; From: Intelligent Analytics With Advanced Multi-Industry Applications
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 3
Fuzzy Set Qualitative Comparative Analysis: Application of Fuzzy Sets in the Social Sciences
A class of objects with a continuum of grades of membership ranging between 0 and 1. Differ from Boolean or crisp sets which are limited to only values of 1 or 0.
Published in Chapter: Fuzzy Set Qualitative Comparative Analysis: Application of Fuzzy Sets in the Social Sciences; From: Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 6
Some Hybrid Soft Sets and Their Application in Decision Making
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 12
Tanimoto Similarity Coefficients Measuring Bipolar q-Rung Picture Fuzzy Information and Their Applications
In mathematics, fuzzy sets (a.k.a. uncertain sets) are somewhat like sets whose elements have membership grades. The fuzzy set generalizes classical set, since the characteristic function of classical set is a special case of the membership function of fuzzy set, if the latter only take values 0 or 1. These sets can be used in a wide range of domains in which information is imprecise or incomplete.
Published in Chapter: Tanimoto Similarity Coefficients Measuring Bipolar q-Rung Picture Fuzzy Information and Their Applications; From: Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 4
Processing of Queries with Fuzzy Similarity Domains
Extended set where the belonging of an element is given by a membership function whose range is the [0, 1] interval.
Published in Chapter: Processing of Queries with Fuzzy Similarity Domains; From: Handbook of Research on Innovative Database Query Processing Techniques
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 1
Fuzzy Expert System in Agriculture Domain
Fuzzy set is expressed as a function and the elements of the set are mapped into their degree of membership. A set with the fuzzy boundaries are “hot,” “medium,” or “cold” for temperature.
Published in Chapter: Fuzzy Expert System in Agriculture Domain; From: Fuzzy Expert Systems and Applications in Agricultural Diagnosis
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 118
Handling Fuzzy Similarity for Data Classification
An extension of classical set theory. Fuzzy set theory used in Fuzzy Logic, permits the gradual assessment of the membership of elements in relation to a set
Published in Chapter: Handling Fuzzy Similarity for Data Classification; From: Encyclopedia of Artificial Intelligence
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 8
Interval Type II Fuzzy Number Generation From Data Set Applied to Sedation Stage Classification
A set that can have elements with different crisp membership degrees between 0 and 1 interval.
Published in Chapter: Interval Type II Fuzzy Number Generation From Data Set Applied to Sedation Stage Classification; From: Computational Intelligence and Soft Computing Applications in Healthcare Management Science
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 2
An Uncertainty-Based Model for Optimized Multi-Label Classification
A set in which the belongingness of elements to the set are given by membership functions providing values lying between 0 and 1.
Published in Chapter: An Uncertainty-Based Model for Optimized Multi-Label Classification; From: Handbook of Research on Swarm Intelligence in Engineering
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 103
Fuzzy Control Systems: An Introduction
A set of elements with a real-valued membership function describing their grades.
Published in Chapter: Fuzzy Control Systems: An Introduction; From: Encyclopedia of Artificial Intelligence
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 9
Application of Uncertainty Models in Bioinformatics
It is one of the most popular models of uncertainty introduced by Zadeh in 1965 where each element has a grade of belongingness to the set instead of the dichotomous belongingness in case of crisp sets.
Published in Chapter: Application of Uncertainty Models in Bioinformatics; From: Handbook of Research on Computational Intelligence Applications in Bioinformatics
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 5
Multilevel Image Segmentation by a Multiobjective Genetic Algorithm Based OptiMUSIG Activation Function
A soft computing technique to determine the ambiguity, vagueness and uncertainty in real world knowledge bases.
Published in Chapter: Multilevel Image Segmentation by a Multiobjective Genetic Algorithm Based OptiMUSIG Activation Function; From: Handbook of Research on Computational Intelligence for Engineering, Science, and Business
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 105
Fuzzy Graphs and Fuzzy Hypergraphs
A generalization of the definition of the classical set. A fuzzy set is characterized by a membership function, which maps the member of the universe into the unit interval, thus assigning to elements of the universe degrees of belongingness with respect to a set.
Published in Chapter: Fuzzy Graphs and Fuzzy Hypergraphs; From: Encyclopedia of Artificial Intelligence
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 40
Cost-Sensitive Classification for Medical Diagnosis
An extension of the classical set whose memberships have degrees of membership.
Published in Chapter: Cost-Sensitive Classification for Medical Diagnosis; From: Encyclopedia of Healthcare Information Systems
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 21
Fabric Database and Fuzzy Logic Models for Evaluating Fabric Performance
A fuzzy set is a generalization of an ordinary (crisp) set. A fuzzy set S allows an element to have partial degree (between zero and one) of membership in S.
Published in Chapter: Fabric Database and Fuzzy Logic Models for Evaluating Fabric Performance; From: Handbook of Research on Fuzzy Information Processing in Databases
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 5
Soft Sets and Its Applications
Fuzzy set was introduced by Zadeh (1965). Fuzzy set is the extension of crisp set. In fuzzy, each and every element has the degrees of membership value which lies between [0, 1]. A fuzzy set is the pair ( S , µ) where S is a set and µ : S ? [0,1].
Published in Chapter: Soft Sets and Its Applications; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 7
Probabilistic Ranking Method of XML Fuzzy Query Results
Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set.
Published in Chapter: Probabilistic Ranking Method of XML Fuzzy Query Results; From: Handbook of Research on Innovative Database Query Processing Techniques
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 9
Application of Uncertainty Models in Bioinformatics
It is an extension of the concept of fuzzy set, introduced by Atanassov in 1986. It is more general than fuzzy set. In fuzzy set the non-membership of an element in a set is one’s complement of its membership. However, this may not be the same in many real life situations because of the hesitation component. In order to model this in intuitionistic fuzzy sets the sum of membership and non-membership values of an element is not restricted to be one.
Published in Chapter: Application of Uncertainty Models in Bioinformatics; From: Handbook of Research on Computational Intelligence Applications in Bioinformatics
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 14
Remote Sensing Image Classification Using Fuzzy-PSO Hybrid Approach
Set of elements with membership values between 0 and 1 for each of the clusters to which it belongs according to fuzzy set theory by Zadeh.
Published in Chapter: Remote Sensing Image Classification Using Fuzzy-PSO Hybrid Approach; From: Handbook of Research on Swarm Intelligence in Engineering
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 12
Hierarchical Fuzzy Sets to Query Possibilistic Databases
A mapping from a universe of discourse—definition domain of the fuzzy set—into the interval [0,1]. The concept of fuzzy set extends the notion of Boolean membership to a set to the notion of degree of membership.
Published in Chapter: Hierarchical Fuzzy Sets to Query Possibilistic Databases; From: Handbook of Research on Fuzzy Information Processing in Databases
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 9
Risk Factor in Agricultural Sector: Prioritizing Indian Agricultural Risk Factor by MAUT Method
Fuzzy set is expressed as a function and the elements of the set are mapped into their degree of membership. A set with the fuzzy boundaries are ‘hot’, ’medium’, or ‘cold’ for temperature.
Published in Chapter: Risk Factor in Agricultural Sector: Prioritizing Indian Agricultural Risk Factor by MAUT Method; From: Soft Computing Methods for System Dependability
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 29
A Fuzzy Simulated Evolution Algorithm for Hard Problems
A set whose elements have degrees of membership, rather than crisp membership or non-membership in classical sets.
Published in Chapter: A Fuzzy Simulated Evolution Algorithm for Hard Problems; From: Handbook of Research on Novel Soft Computing Intelligent Algorithms: Theory and Practical Applications
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 18
Triangular and Trapezoidal Fuzzy Assessment Models
A generalization of the concept of a crisp set introduced by Zadeh in 1965. It is characterized by a membership function defined on the universal set U and taking values in the interval [0, 1], thus assigning a membership degree to each element of U with respect to the fuzzy set. It covers the real situations where certain definitions have no clear boundaries (e.g. the high mountains of a country).
Published in Chapter: Triangular and Trapezoidal Fuzzy Assessment Models; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 12
Agricultural Health and Safety Measures by Fuzzy ahp and Prediction by Fuzzy Expert System: Agricultural Risk Factor
Fuzzy set is expressed as a function and the elements of the set are mapped into their degree of membership. A set with the fuzzy boundaries are “hot,” “medium,” or “cold” for temperature.
Published in Chapter: Agricultural Health and Safety Measures by Fuzzy ahp and Prediction by Fuzzy Expert System: Agricultural Risk Factor; From: Fuzzy Expert Systems and Applications in Agricultural Diagnosis
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 10
An Overview of Tourism Supply Chains Management and Optimization Models (TSCM – OM)
Provide a scheme for handling a variety of problems considering several rules not only true or false. It is a good approach to model the entropy in systems.
Published in Chapter: An Overview of Tourism Supply Chains Management and Optimization Models (TSCM – OM); From: Handbook of Research on Holistic Optimization Techniques in the Hospitality, Tourism, and Travel Industry
Full Text Chapter Download: US $37.50 Add to Cart
eContent Pro Discount Banner
InfoSci OnDemandECP Editorial ServicesAGOSR