scholarly journals An Approach to solve Hexagonal Fuzzy Assignment Problem using Modified Best Candidate Method and Comparative Study with Existing Methods

YMER Digital ◽  
2021 ◽  
Vol 20 (11) ◽  
pp. 208-221
Author(s):  
M Maragatham ◽  
◽  
Suzane Raj L ◽  
Keyword(s):  
Comparative Study ◽  
Assignment Problem ◽  
Fuzzy Numbers ◽  
New Method ◽  
Optimal Solutions ◽  
Numerical Example ◽  
Systematic Procedure ◽  
Fuzzy Cost ◽  
Ranking Technique

The objective of fuzzy assignment problem is to find the least assignment fuzzy cost (maximum fuzzy profit) of workers with varying degree of skills to job. To attain the objective in this article, an approach involving modified best candidate method has been used to solve Hexagonal fuzzy assignment problem. To order the hexagonal fuzzy numbers Robust’s Ranking technique is applied. We examine a numerical example by using new method and compute by existing two methods. Also we compare the optimal solutions among this new method and two existing method .The proposed method is a systematic procedure, easy to apply for solving fuzzy assignment problem.

scholarly journals A Simple Method for Solving Fully Intuitionistic Fuzzy Real Life Assignment Problem

2016 ◽  
Vol 7 (2) ◽  
pp. 39-61 ◽  
Author(s):  
P. Senthil Kumar ◽  
R. Jahir Hussain
Keyword(s):  
Assignment Problem ◽  
Fuzzy Numbers ◽  
Graphical Representation ◽  
Real Life ◽  
New Method ◽  
Simple Method ◽  
Optimal Cost ◽  
Intuitionistic Fuzzy Numbers ◽  
Numerical Example ◽  
Intuitionistic Fuzzy

In solving real life assignment problem we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representations for the data. So, in this paper, the authors consider the assignment problem having uncertainty and hesitation in cost/time/profit. They formulate the problem and utilize triangular intuitionistic fuzzy numbers (TIFNs) to deal with uncertainty and hesitation. The authors propose a new method called PSK (P.Senthil Kumar) method for finding the intuitionistic fuzzy optimal cost/time/profit for fully intuitionistic fuzzy assignment problem (FIFAP). The proposed method gives the optimal object value in terms of TIFN. The main advantage of this method is computationally very simple, easy to understand. Finally the effectiveness of the proposed method is illustrated by means of a numerical example which is followed by graphical representation of the finding.

scholarly journals A new Approach for Obtaining Optimal Solution of Unbalanced Fuzzy Transportation Problem

2016 ◽  
Vol 15 (6) ◽  
pp. 6824-6832
Author(s):  
Nidhi Joshi ◽  
Surjeet Singh Chauhan
Keyword(s):  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
New Approach ◽  
Trapezoidal Fuzzy Numbers ◽  
Numerical Example ◽  
Fuzzy Optimal Solution ◽  
Fuzzy Transportation Problem ◽  
Ranking Technique

The present paper attempts to study the unbalanced fuzzy transportation problem so as to minimize the transportationcost of products when supply, demand and cost of the products are represented by fuzzy numbers. In this paper, authorsuse Roubast ranking technique to transform trapezoidal fuzzy numbers to crisp numbers and propose a new algorithm tofind the fuzzy optimal solution of unbalanced fuzzy transportation problem. The proposed algorithm is more efficient thanother existing algorithms like simple VAM and is illustrated via numerical example. Also, a comparison between the resultsof the new algorithm and the result of algorithm using simple VAM is provided.

Solving interval-valued transportation problem using a new ranking function for octagonal fuzzy numbers

2022 ◽  
Author(s):  
Monika Bisht ◽  
Rajesh Dangwal
Keyword(s):  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Feasible Solution ◽  
Interval Data ◽  
Ranking Function ◽  
Basic Feasible Solution ◽  
Numerical Example ◽  
Fuzzy Transportation Problem ◽  
Ranking Technique ◽  
Interval Valued

In this paper, we introduce a new method to solve Interval-Valued Transportation Problem (IVTP) to deal with those problems of transportation wherein the information available is imprecise. First, a newly proposed fuzzification method is used to convert the IVTP to octagonal fuzzy transportation problem and then with the help of ranking function proposed in this paper, the fuzzy transportation problem is converted into crisp transportation problem. Lastly, Initial Basic Feasible Solution (IBFS) of this problem is obtained using Vogel’s Approximation Method and the solution is improved using Modified Distribution (MODI) method. A numerical example with interval data is solved using the proposed algorithm to make comparison of the solution with some other methods. Also, a numerical example with parameters in the form of octagonal fuzzy numbers is illustrated to compare the effectiveness of the proposed ranking technique. The proposed fuzzification and ranking technique can be used in the other fields of decision making dealing with the data in the same form as considered in this paper.

scholarly journals Solution of a Fuzzy Assignment Problem by using Branch-and-Bound Technique with application of linguistic variable

2016 ◽  
Vol 15 (4) ◽  
pp. 6649-6653 ◽  
Author(s):  
Anil Gotmare
Keyword(s):  
Branch And Bound ◽  
Assignment Problem ◽  
Quantitative Data ◽  
Qualitative Data ◽  
Fuzzy Numbers ◽  
Triangular Fuzzy Number ◽  
Linguistic Variable ◽  
Linguistic Variables ◽  
Branch And Bound Technique ◽  
Fuzzy Cost

In this paper Branch and bound technique is applied to assignment problem with fuzzy cost with objective to minimise cost, fuzzy cost is assumed as triangular fuzzy number, Yager’s ranking method has been used for ranking the fuzzy numbers, after transforming assignment problem into a crisp one using linguistic variables, assignment problem is solved by branch and bound technique. To deal with fuzzy assignment problem with qualitative data, linguistic variable helps to convert qualitative data into quantitative data.

A NOVEL DEFUZZIFYING APPROACH TO CAR EVALUATION AND SELECTION UNDER FUZZY ENVIRONMENT

2002 ◽  
Vol 10 (03) ◽  
pp. 309-326 ◽  
Author(s):  
TA-CHUNG CHU ◽  
CHUNG-TSEN TSAO
Keyword(s):  
Fuzzy Numbers ◽  
Ranking Method ◽  
New Method ◽  
Multiple Level ◽  
Numerical Example ◽  
Fuzzy Environment ◽  
Proposed Model

This paper proposes a new method for ranking fuzzy numbers by difference between relative areas. Comparative examples illustrate the advantage of the proposed method. The ranking method is further applied to help establish a defuzzified multiple level FMADM model, which avoids the complicatied aggregation of fuzzy numbers so that the multiple level FMADM problem can be efficiently solved. A numerical example of car evaluation and selection illustrates the feasibility of the proposed model.

A New Centroids Method for Ranking of Trapezoid Fuzzy Numbers

2014 ◽  
Vol 68 (1) ◽  
Author(s):  
Lazim Abdullah ◽  
Fateen Najwa Azman
Keyword(s):  
Decision Making ◽  
Euclidean Distance ◽  
Fuzzy Numbers ◽  
New Method ◽  
Important Process ◽  
Ranking Methods ◽  
Satisfactory Solution ◽  
Centroid Method ◽  
Straightforward Calculation ◽  
Numerical Example

Ranking fuzzy numbers has become an important process in decision making. Many ranking methods have been proposed thus far and one of the commonly used is centroid of trapezoid. However, there is still no agreement on the method that can always provide a satisfactory solution to every situation. This paper aims to propose a new method of centroid using the circumcenter. The calculation for the circumcenter is derived from the trapezoidal fuzzy numbers and a series of the proposed steps. The proposed method offers a straightforward calculation by considering the centroid in each part of trapezoid to obtain a new centroid which eventually becomes the circumcenter. The Euclidean distance is used to calculate the ranking function from the circumcenter of centroids and the original point. A numerical example is given to illustrate the proposed method. At the end of this paper, a comparison of centroid method between the proposed method and other methods is presented.

Ranking parametric form of fuzzy numbers by defuzzification based on centroids value and ambiguity

2021 ◽  
pp. 1-15
Author(s):  
Devaki Rani Botsa ◽  
Phani Bushan Rao Peddi ◽  
Vikas Boddu
Keyword(s):  
Comparative Study ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
New Method ◽  
Parametric Form ◽  
Ranking Methods ◽  
Process Use ◽  
Generalized Fuzzy Number ◽  
Fuzzy Ranking

This paper proposes a new method to rank the parametric form of fuzzy numbers based on defuzzification. The defuzzification process use centroids, value, ambiguity and decision levels on fuzzy number developed from the parametric form of a generalized fuzzy number. The proposed method avoids reducing function to remove lower alpha levels and can overcome the shortcomings in some of the existing fuzzy ranking methods. The proposed method can effectively rank symmetric fuzzy numbers with the same core and different heights, fuzzy numbers with the same support and different cores, crisp numbers, crisp numbers having the same support and different heights, and fuzzy numbers having compensation of areas. A demonstration of the proposed method through examples and a comparative study with other methods in the literature shows that the proposed method gives effective results.

scholarly journals Implementation of Modified Best Candidate Method in Fuzzy Assignment Problem

YMER Digital ◽  
2021 ◽  
Vol 20 (11) ◽  
pp. 196-207
Author(s):  
M Maragatham ◽  
◽  
Suzane Raj L ◽  
Keyword(s):  
Assignment Problem ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
The Other ◽  
Limited Time ◽  
Assignment Problems ◽  
Trapezoidal Fuzzy Numbers ◽  
Ranking Of Fuzzy Numbers ◽  
Ranking Technique

To meet the demands of every customer by supplying the products at the limited time by maximizing the profit is a dream for many companies. By choosing the best candidate among the other candidates and effectively reaching the optimal solution with a new modified approach using Best Candidate Method in Fuzzy assignment problems. In this paper the author solve Fuzzy assignment problem in which Triangular and Trapezoidal fuzzy numbers are used. Robust Ranking Technique is used for the ranking of fuzzy numbers.

scholarly journals Sorting Out Fuzzy Transportation Problems via ECCT and Standard Deviation

2021 ◽  
Vol 12 (2) ◽  
pp. 1-14
Author(s):  
Krishna Prabha Sikkannan ◽  
Vimala Shanmugavel
Keyword(s):  
Standard Deviation ◽  
Approximation Method ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
New Method ◽  
Transportation Problems ◽  
North West ◽  
Numerical Example ◽  
Optimum Solution ◽  
Better Than

A well-organized arithmetical procedure entitled standard deviation is employed to find the optimum solution in this paper. This technique has been divided into two parts. The first methodology deals with constructing the entire contingency cost table, and the second deals with optimum allocation. In this work, the method of magnitude is used for converting fuzzy numbers into crisp numbers as this method is better than the existing methods. This technique gives a better optimal solution than other methods. A numerical example for the new method is explained, and the authors compared their method with existing methods such as north west corner method, least cost method, and Vogel's approximation method.

scholarly journals Solving Fuzzy Assignment Problems with Hexagonal Fuzzy Numbers by using Diagonal Optimal Algorithm

2019 ◽  
Vol 9 (1) ◽  
pp. 54-57
Keyword(s):  
Assignment Problem ◽  
Fuzzy Numbers ◽  
Optimal Algorithm ◽  
Subject Classification ◽  
Assignment Problems ◽  
Optimal Method ◽  
Numerical Examples ◽  
Ranking Technique

In this article, an approach involving diagonal optimal method has been proposed to solve Hexagonal fuzzy assignment problem(HxFAP). To order the hexagonal fuzzy numbers Yager’s Ranking technique is applied. To understand the algorithm two numerical examples are illustrated.Mathematics Subject Classification: 90C08, 90C70, 90B06, 90C29, 90C90.

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