The Journal of Fuzzy Mathematics
Volume 23, Number 2, June 2015
CONTENT
DETAILS
Pairwise Ordered Gar pre Basically Disconnectedness in Soft L Fuzzy Convergence Space
V. Visalakshi, M. K. Uma and E. Roja
Department of Mathematics, Sri Sarada College for Women, Salem-636016, Tamil Nadu, India. E-mail: visalkumar_cbe@yahoo.co.in
Abstract:
In this paper, the concept of soft fuzzy set is introduced. A new notion of soft fuzzy convergence space on the basis of soft fuzzy set is introduced. Tietz extension theorem is established in pairwise ordered soft fuzzy Gar pre basically disconnected convergence space.
Key words:
Soft fuzzy filter, soft L fuzzy set, soft L fuzzy real line, soft L fuzzy convergence space, soft L fuzzy convergence topology, pairwise ordered soft L fuzzy Gar pre basically disconnected convergence space, characteristic function.
Anti Fuzzy Bi-ideals in Ternary Semirings
T. Anitha
Mathematics Wing, DDE, Annamalai University, Annamalainagar 608002, India. E-mail: anitha81t@gmail.com
D. Krishnaswamy
Department of Mathematics, Annamalai University, Annamalainagar 608002, India. E-mail: krishna_swamy2004@yahoo.co.in
Abstract:
In this paper we introduce the notion of anti fuzzy ideals and anti fuzzy bi-ideals in ternary semirings. Anti fuzzy right ideals are characterized through fuzzy right ideals and right ideals. Regular ternary semirings are characterized through right, lateral and left ideals and fuzzy right, lateral and left ideals and anti fuzzy right, lateral and left ideals.
Key words and phrases:
Anti fuzzy right ideas, anti fuzzy bi-ideals, ¡°.¡± product.
Interval Valued Neutrosophic Soft Sets
Anjan Mukherjee, Mithun Datta and Abhijit Saha
Department of Mathematics, Tripura University Suryamaninagar, Agartala-799022, Tripura, India. E-mail: anjan2002_m@yahoo.co.in,mithunagtoo7@gmail.com,abhijit84_mt@yahoo.in
Abstract:
A neutrosophic set is a part of neutrosophy that studies the origin, nature and scope of neutralities as well as their interactions with different ideational spectra. In this paper the concepts of interval valued neutrosophic sets (IVNS in short), interval valued nutrosophic soft sets (IVNSS in short) are proposed. The basic properties of IVNS, IVNSS are also presented and discussed.
Key words: Soft set, neutrosophic set, neutrosophic soft set, IVNS, IVNSS.
Fuzzy Multiobjective Solid Transportation Problem
E. Ammar
Department of Mathematics, Faculty of Science, Tanta University, Egypt. E-mail: Ammar_al_Saeed@hotmail.com
Abstract:
In this paper we investigate the efficient solutions and stability of multiobjective transportation problem (FMSTP) with fuzzy coefficient crij¡Écr and/or fuzzy supply quantities ai and/or fuzzy demands quantities bj and/or fuzzy conveyances quantities ek. The concept of a-fuzzy efficient was introduced in which the ordinary efficient solution is extended based on the a-level of fuzzy numbers. A necessary and sufficient condition for such a solution is established. The basic notions as the solvability set and the stability set of the first kind are defined and characterized. The parametric analysis is used to characterize the parametric optimal solutions to the auxiliary problems. An algorithm for the determination of the stability set is proposed. Finally, a numerical example is given.
Key words:
Multiobjective transportation problem; Fuzzy numbers; a-fuzzy efficient; a-optimality, Stability notions.
Interval Valued Neutrosophic Soft Set Relations
Anjan Mukherjee and Mithun Datta
Department of Mathematics, Tripura University.E-mail:anjan2002_m@yahoo.co.in,mithunagt007@gmail.com
Abstract:
In this paper the concepts of interval valued neutrosophic soft set relations (IVNSS-relations in short) are proposed. The basic properties of IVNSS-relations are also presented and discussed. Also various types of IVNSS -relations are presented. Finally a solution to a decision making problem using IVNSS -relation is presented.
Key words:
Soft set, neutrosophic set, neutrosophic soft set, IVNS, IVNSS, IVNSS-relations.
Atanassov¡¯s Intuitionistic L-fuzzy G-subalgebras of G-algebras
Chiranjibe Jana and Madhumangal Pal
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India.E-mail: jana.chiranjibe7@gmail.com, mmpalvu@gmail.com
Tapan Senapati
Department of Mathematics, Padima Janakalyan Banipith, Kukurakhupi 721517, India.E-mail:math.tapan@gmail.com
Monoranjan Bhowmik
Department of Education, Assam University, Silchar 788011, India.E-mail: mbvttc@gmail.com
Abstract:
In this paper, the intuitionistic L-fuzzification of G-subalgebras are considered and some related properties are investigated. A characterization of intuitionistic L-fuzzy G-algebras are given. We classified the G-subalgebras by their family of level subalgebras of G-algebras.
Key words:G-algebra, G-subalgebra, intuitionistic L-fuzzy set, intuitionistic L-fuzzy G-subalgebra.
Weaker Forms of Contra-continuous Fuzzy Multifunctions
M. A. Hebeshi and I. M. Taha
Department o fMathematics, Faculty of Science, Sohag University, Egypt.E-mail: imtaha2010@yahoo.com
Abstract:
The aim of this paper is to introduce and study fuzzy upper and fuzzy lower almost contra-continuous and weakly contra-continuous multifunctions. Several characterizations and properties of these multifunctions along with their mutual relationships are established in fuzzy topological spaces.
Key words: Fuzzy topology, fuzzy multifunction, fuzzy upper and fuzzy lower almost contra-continuous, weakly contra-continuous, composition and union.
Fuzzy Query Processing for Document Retrieval Based on Interval Valued Intuitionistic Fuzzy Concept Networks
P. Dheena
Department of Mathematics, Annamalai University, Annamalainagar-608002, India. E-mail address:dheenap@yahoo.com
Abstract:
In this paper, we present a new method intuitionistic fuzzy query processing for document retrieval based on extended fuzzy concept networks. In an extended fuzzy concept networks, there are two kinds of fuzzy relationship between concepts, i.e., fuzzy relevance association and fuzzy irrelevance association. An extended fuzzy concept network can be modeled by a relevance matrix and a irrelevance matrix where the elements in a relevance matrix indicate the degrees of relevance between concepts and the elements in a irrelevance matrix indicate the degrees of irrelevance between concepts. The implicit degrees of relevance and the implicit degrees of irrelevance between concepts can be inferred by the transitive closure of relevance matrix and the transitive closure of irrelevance matrix respectively. The proposed method is more flexible than the ones presented in [6,7,11] due to the fact that it allows the users to perform relevant queries and irrelevant queries. The proposed method allows the users to perform fuzzy queries in more flexible and more intelligent manner.
Key words and phrases:
Relevance matrix, irrelevance matrix, relevance query, irrelevance query, document descriptor relevance matrix, document descriptor irrelevance matrix, retrieval status, retrieval threshold value.
Fixed Point of Weak Compatible Mappings in Complete Intuitionistic Fuzzy Metric Space
Rajinder Sharma
Department of General Requirements (Mathematics Section) College of Applied Sciences, Sohar, Sultanate of Oman P. O. Box: 135, Code: 311. E-mail:rajind.math@gmail.com
Abstract:
The purpose of this paper is to prove a related common fixed point theorem for five mappings in complete intuitionistic fuzzy metric space with different proof. The mappings taken under consideration are weakly compatible in nature.
Key words:
Fixed Point, Compatible Mappings, Weak Compatible Mappings, Intuitionistic Fuzzy Metric Space, Complete Intuitionistic Fuzzy Metric Space.
On New Similarity Measures and Distance Measures of Soft Sets
Liu Yaya, Qin Keyun and Wang Ling
College of Mathematics, Southwest Jiaotong University, Sichuan, Chengdu, 610031, China.
Abstract:
In this paper we introduce some new similarity measures and distance measures for estimating the degree of similarity between two soft sets. These measures are examined based on the set-theoretic approach or the matching function.
Key words: Soft set, Similarity measures, Distance measures.
Relations, Isomorphism of Level and Lower Level Subgroups
B. O. Onasanya and S. A. Ilori
Department of Mathematics University of Ibadan Oyo State, Nigeria. Email: : babtu2001@yahoo.com
Abstract:
Dealing with isomorphism of level (or lower level) subgroups, the case is completely reduced to isomorphism of groups. Many authors have done a lot on fuzzy homomorphisms up to isomorphism but we take a different approach. [8] has shown that if any two fuzzy relations are generalized conjugate fuzzy relations then they are conjugate fuzzy relations but that the converse is not true in general. Here we show a way of characterizing a generalized conjugate fuzzy relation.
Key words:Level subgroups, Isomorphism, Anti fuzzy relations.
Some Properties of Fuzzy Symmetric Subgroup and Anti Fuzzy Subgroup
B. O. Onasanya and S. A. Ilori
Department of Mathematics University of Ibadan Oyo State, Nigeria. Ilori.E-mail: babtu2001@yahoo.com
Abstract:
[5] has shown that the intersection of any two fuzzy subgroups is also a fuzzy subgroup and we now show that the intersection of any two anti fuzzy subgroups is also an anti fuzzy subgroup. More over, we state and prove the anti fuzzy version the work of [6] in characterizing union of fuzzy subgroups. Besides, [2] and [7] have worked on the set of all fuzzy symmetric subgroup of the symmetric group F(Sn).
Key words:
Fuzzy symmetric group, Co-fuzziness, Level subgroup.
On Boolean Algebraic L-topology Spaces
Shakeel Ahmed
Department of Mathematics, Govt. Degree College ThannaMandi, Distt. Rajouri, Jammu and Kashmir, India. Pin code: 185212.E-mail: shakeelar2002@yahoo.co.in
Abstract:
In this paper we have introduced the concept of Boolean Algebraic L-topology and studied its several basic properties.
Key words: Boolean Algebra, L-topological space, Finitistic Space, Filter.
A New Solution Approach Using Intuitionistic Fuzzy Congnitive Map to Solve Intuitionistic Fuzzy Multi- criteria Ranking Problems in Medical Science
Tanushree Mitra Basu and Shyamal Kumar Mondal
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, W. B., India.E-mail: tanushreemitra13@gmail.com, shyamal_260180@yahoo.com
Abstract:
In this paper we have introduced the concept of a generalized intuitionistic fuzzy multi-criteria ranking problem. We have also reformulated the equation evaluating the value of each node of an intuitionistic fuzzy cognitive map (IFCM). Moreover we have introduced some new notions such as potentiality, mean potentiality, accuracy function, hesitation function of an intuitionistic fuzzy soft set (IFSS) and by utilizing these new notions together with the concept of IFCM we have developed a new algorithm, named as IFCM -algorithm for solving intuitionistic fuzzy multi-criteria ranking problems. Finally we have applied the IFCM -algorithm to rank the effectiveness of the treatment procedures in respect to the diseases from medical science.
Key words:
Ranking Problem, Intuitionistic fuzzy multi-criteria, Intuitionistic fuzzy cognitive map (IFCM), IFCM -algorithm, Medical Science.
A Decision Making Method Based on Similarity Measure of Interval Valued Intuitionistic Fuzzy Soft Set of Root Type
S. Anita Shanthi and J. Vadivel Naidu
Department of Mathematics, Annamalai University, Annamalainagar-608002, Tamilnadu, India.E-mail:shanthi.anita@yahoo.com,mathsvel@yahoo.com
Abstract:
The aim of this paper is to introduce necessity and possibility operations on interval valued intuitionistic fuzzy soft set of root type and to develop a decision making method based on similarity measure of interval valued intuitionistic fuzzy soft set of root type.
Key words:
Interval valued intuitionistic fuzzy soft set of root type, AND, OR, necessity and possibility operators and similarity measure on interval valued intuitionistic fuzzy soft set of root type.
Fuzzy Partial Fractional Order Hyperbolic Differential Equations
Mouffak Benchohra
Laboratory of Mathematics, University of Sidi Bel Abbes, P. O. Box 89, Sidi Bel Abbes 22000, AlgeriaDepartment of Mathematics, Faculty of Science, King Abdulaziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia.E-mail: benchohra@yahoo.com
Abderrahmane Boukenkoul
Department de Foresterie et d¡¯Agronomie, Faculte des sciences de la vie et de 1¡¯environnementUniversite Abou Bekr Belkaid, Tlemcen 13000, Algeria.E-mail:ab_koul@yahoo.fr
Abstract:
In this paper, the Banach contraction principle and a fixed point theorem for absolute retract spaces are used to investigate the existence of fuzzy solutions for Caputo fractional differential equations.
Key words:
Hausdorff metric, Fuzzy solution, fractional differential, H-differentiability, fixed point theorem.
Interval Valued Fuzzy Ideals of Near-rings
N. Thillaigovindan
Veltech Ranga Sanku Arts College, Avadi , Chennai-600 062, India.E-mail: thillaigovindan.natesan@gmail.com
V. Chinnadurai and S. Kadalarasi
Department of Mathematics Annamalai University Annamalainagar-608002, India.E-mail: poongschinnu@yahoo,kadalarasi89@gmail.com
Abstract:
In this paper, we introduce the notion of interval valued fuzzy ideals of near-rings. We have characterized and investigated some related properties of interval valued fuzzy ideals of near-rings.
Key words:
Near-rings, ideals, fuzzy ideals, interval valued fuzzy ideals, homomorphism, anti-homomorphism.
Some Summability Spaces of Double Sequences of Fuzzy Numbers
Manmohan Das
Department of Mathematics, Bajali College (Gauhati University), Pathsala, Assam, India.
E-mail: mdas.bajali@gmail.com
Bipul Sarma
Department of Mathematics, M. C. College (Gauhati University), Barpeta, Assam, India.
E-mail: drbasar@yahoo.co.in
Abstract:
In this article we introduce and study the notions of some double lacunary strongly summable, double Cesaro strongly summable, double statistically convergent and double lacunary statistically convergent sequence of fuzzy numbers. We construct some new sequence spaces and investigate the relationship among those spaces.
Key words:
Lacunary strongly summable; Cesaro strongly summable; statistically convergent; lacunary statistically convergent.
A Note on Pairwise Fuzzy Weakly Volterra
G. Thangaraj
Department of Mathematics Thiruvalluvar University Serkkadu, Vellore-632115, Tamil Andu, India.
V. Chandiran
Research Scholar Thiruvalluvar University Serkkadu, Vellore-632115, Tamil Nadu, India.
Abstract:
In this paper we investigate several characterizations of pairwise fuzzy weakly Volterra spaces and study the conditions under which a fuzzy bitopological space is a pairwise fuzzy weakly Volterra space.
Key words:
Pairwise fuzzy dense set, pairwise fuzzy nowhere dense set, pairwsie fuzzy Gd-set, pairwise fuzzy Fs-set, pairwise fuzzy first category set, pairwise fuzzy second category space, pairwise fuzzy Baire space, pairwise fuzzy strongly irresolvable space and pairwise fuzzy weakly Volterra space.
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