Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
Fuzzy programming approach to Bi-level linear programming problems
268
290
EN
Eshetu
Dadi
Gurmu
Department of Mathematics, Wollega University, Nekemte, Ethiopia.
eshetudadi1@gmail.com
Tagay
Takele
Fikadu
Department of Mathematics, Wollega University, Nekemte, Ethiopia.
tagay4@gmail.com
10.22105/jfea.2020.262326.1069
In this study, we discussed a fuzzy programming approach to bi-level linear programming problems and their application. Bi-level linear programming is characterized as mathematical programming to solve decentralized problems with two decision-makers in the hierarchal organization. They become more important for the contemporary decentralized organization where each unit seeks to optimize its own objective. In addition to this, we have considered Bi-Level Linear Programming (BLPP) and applied the Fuzzy Mathematical Programming (FMP) approach to get the solution of the system. We have suggested the FMP method for the minimization of the objectives in terms of the linear membership functions. FMP is a supervised search procedure (supervised by the upper Decision Maker (DM)). The upper-level decision-maker provides the preferred values of decision variables under his control (to enable the lower level DM to search for his optimum in a wider feasible space) and the bounds of his objective function (to direct the lower level DM to search for his solutions in the right direction).
Fuzzy set,Fuzzy function,Fuzzy linear programming,Bi level programming
http://www.journal-fea.com/article_120921.html
http://www.journal-fea.com/article_120921_531bc698758432087f411b58c73c3118.pdf
Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
An overview of data envelopment analysis models in fuzzy stochastic environments
291
299
EN
Fatemeh Zahra
Montazeri
Department of Industrial Engineering, Ayandegan Insttitute of Higher Education, Tonekabon, Iran.
montazeri.fatemehzahra@gmail.com
10.22105/jfea.2020.258330.1030
One of the appropriate and efficient tools in the field of productivity measurement and evaluation is data envelopment analysis, which is used as a non-parametric method to calculate the efficiency of decision-making units. Today, the use of data envelopment analysis technique is expanding rapidly and is used in the evaluation of various organizations and industries such as banks, postal service, hospitals, training centers, power plants, refineries, etc.In real-world problems, the values observed from input and output data are often ambiguous and random. To solve this problem, data envelopment analysis in stochastic fuzzy environment was proposed. Although the DEA has many advantages, one of the disadvantages of this method is that the classic DEA does not actually give us a definitive conclusion and does not allow random changes in input and output. In this paper, we review some of the proposed models in data envelopment analysis with fuzzy and random inputs and outputs.
Decision-making,Efficiency,Stochastic Fuzzy DEA
http://www.journal-fea.com/article_120094.html
http://www.journal-fea.com/article_120094_d4851e95d08ad6ae7dcacf220fbe9780.pdf
Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
A study on fundamentals of refined intuitionistic fuzzy set with some properties
300
314
EN
Atiqe
Ur
Rahman
0000-0001-6320-9221
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
aurkhb@gmail.com
Muhammad
Rayees
Ahmad
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
rayeesmalik.ravian@gmail.com
Muhammad
Saeed
0000-0002-7284-6908
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
muhammad.saeed@umt.edu.pk
Muhammad
Ahsan
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
ahsan1826@gmail.com
Muhammad
Arshad
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
maakhb84@gmail.com
Muhammad
Ihsan
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
mihkhb@gmail.com
10.22105/jfea.2020.261946.1067
Zadeh conceptualized the theory of fuzzy set to provide a tool for the basis of the theory of possibility. Atanassov extended this theory with the introduction of intuitionistic fuzzy set. Smarandache introduced the concept of refined intuitionistic fuzzy set by further subdivision of membership and non-membership value. The meagerness regarding the allocation of a single membership and non-membership value to any object under consideration is addressed with this novel refinement. In this study, this novel idea is utilized to characterize the essential elements e.g. subset, equal set, null set, and complement set, for refined intuitionistic fuzzy set. Moreover, their basic set theoretic operations like union, intersection, extended intersection, restricted union, restricted intersection, and restricted difference, are conceptualized. Furthermore, some basic laws are also discussed with the help of an illustrative example in each case for vivid understanding.
Fuzzy set,Intuitionistic fuzzy set,Refined Intuitionistic Fuzzy Set
http://www.journal-fea.com/article_120762.html
http://www.journal-fea.com/article_120762_2fb568ec6e6d5a39aaf3d2f644b40461.pdf
Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
Interval valued Pythagorean fuzzy ideals in semigroups
315
324
EN
Veerappan
Chinnadurai
0000000260476348
Department of Mathematics, Annamalai University, Chidambaram, Tamilnadu, India.
chinnaduraiau@gmail.com
Arul
Selvam
Department of Mathematics, Annamalai University, Annamalainagar, Tamilnadu, India.
arulselvam.a91@gmail.com
10.22105/jfea.2020.252687.1023
In this paper, we define the new notion of interval-valued Pythagorean fuzzy ideals in semigroups and established the properties of its with suitable examples. Also, we introduce the concept of interval valued Pythagorean fuzzy sub-semigroup, interval valued Pythagorean fuzzy left (resp. right) ideal, interval valued Pythagorean fuzzy bi-ideal, interval valued Pythagorean fuzzy interior ideal and homomorphism of an interval valued Pythagorean fuzzy ideal in semigroups with suitable illustration. We show that every interval valued Pythagorean fuzzy left (resp. right) ideal is an interval valued Pythagorean fuzzy bi-ideal.
Pythagorean Fuzzy,fuzzy ideals,homomorphism,semigroups
http://www.journal-fea.com/article_119857.html
http://www.journal-fea.com/article_119857_be3c2222be527f8cedee954088c7a2db.pdf
Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
Some similarity measures of rough interval Pythagorean fuzzy sets
325
335
EN
V. S.
Subha
Department of Mathematics,
Bharathidasan University,
Tamilnadu, India.
dharshinisuresh2002@gmail.com
Dhanalakshmi
Dhanalakshmi
0000-0002-1583-8047
Research Scholar, Annamalai University,
Chidambaram, India.
vpdhanam83@gmail.com
10.22105/jfea.2020.262002.1068
In this paper, we expose cosine, jaccard and dice similarity measures and rough interval Pythagorean mean operator. Some of the important properties of the defined similarity measures have been established. Then the proposed methods are applied for solving multi attribute decision making problems. Finally, a numerical example is solved to show the feasibility, applicability and effectiveness of the proposed strategies.
Interval valued fuzzy set,Interval Valued Pythagorean Fuzzy Set,Rough Set,Cosine similarity Measure,Jaccard Similarity measure,Dice Similarity Measure
http://www.journal-fea.com/article_121651.html
http://www.journal-fea.com/article_121651_85257c7101b48e9172effb7aebfe7910.pdf
Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
Spherical interval-valued fuzzy bi-ideals of gamma near-rings
336
345
EN
Chinnadurai
Veerappan
Department of Mathematics, Faculty of Mathematics, Annamalai University, Chidambaram, India.
kv.chinnadurai@yahoo.com
Shakila
Venkatesan
Department of Mathematics, Annamalai University, Chidambaram, India.
shaki04@gmail.com
10.22105/jfea.2020.259268.1040
In this paper we introduce the concept of the spherical interval-valued fuzzy bi-ideal of gamma near-ring R and its some results. The union and intersection of the spherical interval-valued fuzzy bi-ideal of gamma near-ring R is also a spherical interval-valued fuzzy bi-ideal of gamma near-ring R . Further we discuss about the relationship between bi-ideal and spherical interval-valued fuzzy bi-ideal of gamma near-ring R.
spherical fuzzy set,Interval-Valued Fuzzy Set,Γ -Near-Rings,Bi-Ideal
http://www.journal-fea.com/article_121652.html
http://www.journal-fea.com/article_121652_bc9b4f2586594e9158675f72e3418d55.pdf
Ayandegan Institute of Higher Education, Iran
Journal of Fuzzy Extension and Applications
2717-3453
1
4
2020
12
01
K-algebras on quadripartitioned single valued neutrosophic sets
346
362
EN
Mohanasundari
Mohan
Department of Mathematics, Nirmala College For Women, Coimbatore, Tamilnadu, India.
mohanasundari@bitsathy.ac.in
Mohana
Krishnaswamy
Department of Mathematics, Assistant Professor, Nirmala College for Women, Coimbatore, India.
10.22105/jfea.2020.254945.1026
Abstract Quadripartitioned single valued neutrosophic (QSVN) set is a powerful structure where we have four components Truth-T, Falsity-F, Unknown-U and Contradiction-C. And also it generalizes the concept of fuzzy, initutionstic and single valued neutrosophic set. In this paper we have proposed the concept of K-algebras on QSVN, level subset of QSVN and studied some of the results. In addition to this we have also investigated the characteristics of QSVN Ksubalgebras under homomorphism.
Quadripartitioned Single Valued Neutrosophic Set (QSVNS),K-algebras,homomorphism,Quadripartitioned Single Valued Neutrosophic K-algebras
http://www.journal-fea.com/article_120424.html
http://www.journal-fea.com/article_120424_700defb9559b98fd657de05b8c2c825e.pdf