scholarly journals On the Fuzzy Convergence

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Abdul Hameed Q. A. Al-Tai
Keyword(s):  
Real Number ◽  
Fuzzy Set ◽  
Fuzzy Number ◽  
Triangular Fuzzy Number ◽  
Fuzzy Point ◽  
Fuzzy Convergence

The aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real numberris replaced by a fuzzy numberr¯(either triangular fuzzy number or singleton fuzzy set (fuzzy point))). And then, we will consider that some results respect effect of the upper sequence on the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence.

scholarly journals PROPERTIES OF FUZZY DITANCE ON FUZZY SET

2016 ◽  
Vol 11 (6) ◽  
pp. 5286-5299
Author(s):  
Jehad R. Kider ◽  
Aisha J Hassan
Keyword(s):  
Fuzzy Set ◽  
Cauchy Sequence ◽  
Fuzzy Distance ◽  
Fuzzy Point ◽  
Definition Of ◽  
Fuzzy Convergence

In this paper we introduce the definition of fuzzy distance space on fuzzy set then we study and discuss several properties of  this space after some illustrative examples are given . Furthermore we introduce the definition of fuzzy convergence, fuzzy Cauchy sequence of fuzzy point and fuzzy bounded fuzzy distance space . 

scholarly journals Fuzzy-Based Investigation of Challenges for the Deployment of Renewable Energy Power Generation

Energies ◽  
2021 ◽  
Vol 15 (1) ◽  
pp. 58
Author(s):  
Shabbiruddin ◽  
Neeraj Kanwar ◽  
Vinay Kumar Jadoun ◽  
Majed A. Alotaibi ◽  
Hasmat Malik ◽  
...  
Keyword(s):  
Power Generation ◽  
Renewable Energy ◽  
Fuzzy Set ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Triangular Fuzzy Number ◽  
Decision Makers ◽  
The Other ◽  
Function Shape ◽  
The Membership Function

Studying and analyzing the challenges that the renewable energy sector faces can help evaluate the risks and improve the planning. This research is done by considering the challenges in the implementation of sustainable generation of electricity through RESs in India, based on factors, including technical, financial, involvement, support, and others. The triangular fuzzy number (TFN) method, based on fuzzy logic concept, is used to analyze the challenges in this study. In general, TFN comprises of three numbers, likewise Gaussian fuzzy numbers, trapezoidal fuzzy numbers also exist. The classified sets of numbers are denotations to decision-makers’ perspective or a choice towards the criterion preference. Although alternatives are many to design a fuzzy set depending on elements count, the TFNs are the ones considered as actual representations of a fuzzy number. On the other hand, cases the Gaussian or trapezoidal, are manifestations of fuzzy intervals. Another argument is that the membership function shape corresponding to the number of fuzzy set elements is largely dependent on the study. The challenges identified along with analysis in this paper will help the industry, governments, and policymakers focus and tackle essential issues to facilitate further the deployment of RESs in India towards a more sustainable country.

scholarly journals New fuzzy generalized bi Γ-ideals of the type (∈,∈∨qk) in ordered Γ-semigroups

2017 ◽  
Vol 13 (4) ◽  
pp. 6666-670
Author(s):  
Ibrahim Gambo ◽  
Nor Haniza Sarmin ◽  
Hidayat Ullah Khan ◽  
Faiz Muhammad Khan
Keyword(s):  
Characteristic Function ◽  
Real Number ◽  
Fuzzy Set ◽  
Unit Interval ◽  
Membership Functions ◽  
Fuzzy Subset ◽  
Ordered Semigroups ◽  
The Past ◽  
Fuzzy Point

A fuzzy subset A defined on a set X is represented as A = {(x, A (x), where x ∈ X}. It is not always possible for membership functions of type λA : X → [0,1] to associate with each point x in a set X a real number in the closed unit interval [0,1] without the loss of some useful information. The importance of the ideas of “belongs to” (∈) and “quasi coincident with” (q) relations between a fuzzy point and fuzzy set is evident from the research conducted during the past two decades. Ordered Γ-semigroup (generalization of ordered semigroups) play an important role in the broad study of ordered semigroups. In this paper, we provide an extension of fuzzy generalized bi Γ-ideals and introduce (∈,∈∨qk)-fuzzy generalized bi Γ-ideals of ordered Γ-semigroup. The purpose of this paper is to link this new concept with ordinary generalized bi Γ-ideals by using level subset and characteristic function.

scholarly journals Fuzzy Similar Priority Method for Mixed Attributes

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Jinshan Ma ◽  
Changsheng Ji ◽  
Jing Sun
Keyword(s):  
Real Number ◽  
Fuzzy Number ◽  
Triangular Fuzzy Number ◽  
Interval Number ◽  
Ratio Method ◽  
Improved Method ◽  
Trapezoidal Fuzzy Number ◽  
Specific Object ◽  
Priority Method

Fuzzy similar priority ratio method is to select the most suitable one to the specific object from feasible alternatives. However, this method considering only the index values of real number has its disadvantages of inaccuracy in result and complexity in calculation. So, this method was extended to handle mixed attributes including real number, interval number, triangular fuzzy number, and trapezoidal fuzzy number. The proposed method decides the optimal alternative by the minimum of integrated nearness degrees calculated by all index vectors and the fixed index vectors based on the theory of similarity. The improved method can not only address mixed attributes but also simplify the calculation and improve the accuracy of result. A case study illustrated this method.

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