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Extension Principle

A Note on Zadeh's Extension Principle

A Note on Zadeh's Extension Principle

... The concept of fuzzy sets has been primarily introduced for representing sets containing uncertainty or vagueness by Zadeh [9] as fuzzy set theory. Then, fuzzy set theory has been applied in various areas such as ...

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SOLVING FUZZY SOLID TRANSPORTATION PROBLEM BASED ON EXTENSION PRINCIPLE WITH INTERVAL BUDGET CONSTRAINT

SOLVING FUZZY SOLID TRANSPORTATION PROBLEM BASED ON EXTENSION PRINCIPLE WITH INTERVAL BUDGET CONSTRAINT

... the extension principle, the fuzzy solid transportation problem is transformed into a pair of mathematical programs that is employed to calculate the lower and upper bounds of the fuzzy total transportation ...

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Grade estimation of Zu2 Jajarm deposit by considering imprecise variogram model parameters based on the extension principle

Grade estimation of Zu2 Jajarm deposit by considering imprecise variogram model parameters based on the extension principle

... Generally, due to the lack of enough data or the behavior of experimented variogram, it is impossible to fit a variogram model with a complete precision. Therefore, the effects of imprecision in the results should be ...

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Comparison of Classical Method, Extension Principle and α Cuts and Interval Arithmetic Method in Solving System of Fuzzy Linear Equations

Comparison of Classical Method, Extension Principle and α Cuts and Interval Arithmetic Method in Solving System of Fuzzy Linear Equations

... The system of linear equations plays a vital role in real life problems such as optimization, economics, and engineering. The parameters of the system of linear equations are modeled by taking the experimental or ...

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INTUITIONISTIC FUZZY EQUATIONS AND ITS APPLICATION ON RELIABILITY EVALUATION

INTUITIONISTIC FUZZY EQUATIONS AND ITS APPLICATION ON RELIABILITY EVALUATION

... In real world problems, the collected data or system parameters are often imprecise because of incomplete or non- obtainable information, and the probabilistic approach to the conventional reliability analysis is ...

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New ‎A‎rithmetic Operations on Developed Parabolic Fuzzy Numbers and Its Application‎

New ‎A‎rithmetic Operations on Developed Parabolic Fuzzy Numbers and Its Application‎

... the extension principle ( in the domain of the membership function) or the interval arithmetics (in the domain of the α- cuts), we have some problem in subtraction operator, division op- erator and ...

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A Compensatory Fuzzy Approach to Multi-Objective Linear Transportation Problem with Fuzzy Parameters

A Compensatory Fuzzy Approach to Multi-Objective Linear Transportation Problem with Fuzzy Parameters

... on extension principle, Liu and Kao [12] developed a procedure to derive the fuzzy objective value of the fuzzy transporta- tion problem where the cost coefficients, supply and demand quantities are fuzzy ...

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Biorthogonal wavelets and tight framelets from smoothed pseudo splines

Biorthogonal wavelets and tight framelets from smoothed pseudo splines

... In this section, we give a construction of tight framelets and discuss the approximation order of tight framelets from smoothed pseudo splines by using the unitary extension principle of []. The ...

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A NEW PROPERTIES OF ALGEBRIC STRUCTURE ON 
  HEXAGONAL FUZZY NUMBER

A NEW PROPERTIES OF ALGEBRIC STRUCTURE ON HEXAGONAL FUZZY NUMBER

... Fuzzy setswere introduced by Zadeh in 1965 to represent the information possessing non-statistical certainties. Different types of fuzzy set are defined in order to clear the vagueness of the assisting problems. A Fuzzy ...

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Extension of the fuzzy integral for general fuzzy set valued information

Extension of the fuzzy integral for general fuzzy set valued information

... Abstract—The fuzzy integral (FI) is an extremely flexible aggregation operator. It is used in numerous applications, such as image processing, multi-criteria decision making, skeletal age- at-death estimation and ...

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Some Notes on Pentagonal Fuzzy Numbers

Some Notes on Pentagonal Fuzzy Numbers

... Zadeh’s Extension Principle [15] and then some of the noteworthy contributions on fuzzy numbers and its applications have been made by Dubois and Prade [6], Mizumoto and Tanaka [9] internal arithmetic was ...

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Optimization of fuzzy production inventory models for crisp or  fuzzy production time

Optimization of fuzzy production inventory models for crisp or fuzzy production time

... Function Principle is proposed by Chen (1985) in order to handle the fuzzy arithmetical operations by using the trapezoidal fuzzy ...the Extension Principle, Chen (1985) used the Function ...

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Fuzzy control chart analysis of mean waiting time in M / M / S queuing model

Fuzzy control chart analysis of mean waiting time in M / M / S queuing model

... Let P (x, y) and P ~ ( ~ λ , μ ~ ) denote the parameters of the control chart relating to mean waiting time of customers in the crisp and fuzzy environments respectively, where P stands for the control chart parameters ...

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Analysis of Fuzzy Non Preemptive Priority Queue using Non-Linear Programming Approach

Analysis of Fuzzy Non Preemptive Priority Queue using Non-Linear Programming Approach

... Zadeh's extension principle is applied to non preemptive priority model and membership function of waiting time , average queue length for first and second priority is constructed using non-linear ...

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On generalized weakly directional contractions and approximate fixed point property with applications

On generalized weakly directional contractions and approximate fixed point property with applications

... contraction principle, Kannan ’ s fixed point theorems and Chatterjea ’ s fixed point theo- rems for nonlinear multivalued contractive maps in complete metric spaces; for more details, we refer the reader to ...

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Remarks on Hamilton's compactness theorem for Ricci flow

Remarks on Hamilton's compactness theorem for Ricci flow

... Abstract. A fundamental tool in the analysis of Ricci flow is a compactness result of Hamilton in the spirit of the work of Cheeger, Gromov and others. Roughly speaking it allows one to take a sequence of Ricci flows ...

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Job satisfaction and job autonomy of extension personnel of the public agricultural extension organization in Tripura state of North East India

Job satisfaction and job autonomy of extension personnel of the public agricultural extension organization in Tripura state of North East India

... the extension personnel from Raita Samparka Kendras had low and medium level of job satisfaction as in the case of AOs in the present ...of Extension Officers exhibited high level of overall job ...

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The principle of goodness and reality situating a fundamental ethical principle

The principle of goodness and reality situating a fundamental ethical principle

... the Principle is for all intents and purposes a stronger ethic than Kant’s philosophy; the disagreements indicated above regard matters that may be seen more as personal preferences or biases of Kant himself than ...

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The Momentum Principle

The Momentum Principle

... the force is nearly constant during this time interval.... Force (F).[r] ...

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The Principle of Vulnerability

The Principle of Vulnerability

... I call it The Principle of Vulnerability: arguments must be open to criticism; hence no Arguer should represent the argument as being invulnerable, or immune to criti[r] ...

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