The Journal of Fuzzy Mathematics
Volume 25, Number 3, September 2017
CONTENT
DETAILS
On (q)-fuzzy C-prime Ideals of Near Ring
Gopi Kanta Barthakur
Research Scholar, Department of Mathematical Science Bodoland University, Kokrajhar, Assam, India E-mail: gopik2003@gmail.com
Shibu Basak
Department of Mathematics Kokrajhar Govt. College, BTAD, Assam, India. E-mail: bshibu.math@gmail.com
Abstract:
In this paper, we introduce the notion of (q)-fuzzy c-prime ideal, equiprime ideal and 3-prime ideals of near ring using the idea of quasi coincidence of a fuzzy point with a fuzzy set. Also we investigate some related properties of these fuzzy substructures. Finally homomorphism of two near-ring, the image and inverse image of (q)-fuzzy c-prime ideals are studied towards the end of this paper.
Key words:
Near-ring, Fuzzy point, Quasi-coincidence, (q)-fuzzy c-prime ideal, equiprime ideal and 3-prime ideals.
A Fuzzy Inventory Model with Unit Production Cost, Time Depended Holding Cost, with-out Shortages under A Space Constraint: A Parametric Geometric Programming Approach
Wasim Akram Mandal
Beldanga D. H. Sr. Madrasah, Beldanga-742189, Murshidabad, WB, India. E-mail: wasim0018@gmail.com
Sahidul Islam
Department of Mathematics, University of kalyanl, kalyanl, W. B. India. E-mail: sahidul.math@gmail.com
Abstract:
In this paper, an Inventory model with unit production cost, time depended holding cost, with-out shortages is formulated and solved. We have considered a single objective inventory model. In most real world situation, the objective and constraint function of the decision makers are imprecise in nature. Hence the coefficients, indices, the objective function and constraint goals are imposed here in fuzzy environment. Geometric programming provides a powerful tool for solving a variety of imprecise optimization problems. Here we use nearest interval approximation method to convert a triangular fuzzy number to an interval number. In this paper, we transform this interval number to a parametric interval-valued functional form and then solve the parametric problem by geometric programming technique. Numerical example is given to illustrate the model through this Parametric Geometric-Programming method.
Key words:
Inventory model, Fuzzy number, Space constraint, Geometric Programming, Interval-valued function.
Covering Dimension of Fuzzy Normal Spaces
Vishal Gupta and Manu Verma
Department of Mathematics Maharishi Markandeshwar , University Mullana, Haryana India. E-mail: vishal.gmn@gmail.com E-mail: ammanu7@gmail.com
M. S. Khan
Professor Department of Mathematics and Statistics Sultan Qaboos University,
P. O. Box 36, Al-Khoud 123 Muscat Sultanate of Oman, Oman. E-mail: mohammad@squ.edu.om
Abstract:
In this paper, we define new concept of G-weakly commuting and G-R -weakly commuting mappings in generalized fuzzy metric spaces. We prove the existence and uniqueness of common fixed point employing this new concept along with E.A property. Continuity of mapping is not require for our result. Examples are elaborated to explain the validity of hypothesis of ours results.
Key words:
Fixed point, property (E.A) CLRg property, generalized fuzzy metric space, G-weakly commuting of type G_f , G-R -weakly commuting of type G_f
Certain Properties of Soft Metric Space
Muhammad Riaz and Zain Fatima
Department of Mathematics Victoria Institution (College) 78 B, A.P.C.Road Kolkata - 700009, INDIA. E-mail: mriaz.math@pu.edu.pk
E-mail: zainfatima9212@gmail.com
Abstract:
In this paper, we study soft set theory and investigate various properties of soft metric spaces including soft dense, nowhere soft dense set, soft first category, soft second category, soft Baire space and soft isometric spaces. We also establish Baire¡¯s category theorem and completion theorem of a soft metric space.
Key words:
Soft set, soft point, soft real number, soft dense subset
The Cut Sets of Interval-valued Intuitionistic Fuzzy Sets and Their Properties
Han-Liang Huang
School of Mathematics and Statistics Minnan Normal University Zhangzhou 363000, P.R. China. E-mail: hl_huang1980.student@sina.com
Tianqu Zhang
School of Mathematics and Statistics Minnan Normal University Zhangzhou 363000, P.R. China. E-mail:289461786@qq.com
Abstract:
In this paper, fuzzy *matroids are introduced via fuzzy *flat axioms. The concepts of fuzzy *m-structure, fuzzy *m-continuous function, fuzzy generalized *m-structure, fuzzy generalized *m-continuous function are introduced. Besides discussing interesting properties, several characterizations of the concepts introduced are investigated.
Key words:
Cut set, Interval-valued intuitionistic fuzzy set (IVIFS) , Convex IVIFS , Concave IVIFS , Binary operation.
The Intuitionistic (l,h)-function Rough Descriptor System and Its Application in The Prediction of Real Estate
Zhang Qing-ling
Institute of Systems Science, Northeastern University, Shenyang 110004, China
Liu Feng
Institute of Systems Science, Northeastern University, Shenyang 110004, China.Dalian Survey Group of the National Statistics Bureau, Dalian 116021, China.
Fan Chuan-qiang
Institute of Systems Science, Northeastern University, Shenyang 110004, China.School of Science, Liaoning Shihua University, Fushun 113001, China
Liu Feng
Dept. of Naval Gun, Dalian Naval Academy, Dalian 116013, China.
Abstract:
By using intuitionistic (l,h)-function rough sets and T-S fuzzy descriptor systems, the intuitionistic (l,h)-function rough descriptor systems are proposed in this paper. Its definition is given firstly, and the stability of this kind of systems is studied, the relation of intuitionistic (l,h)-function rough descriptor systems and fuzzy descriptor systems is discussed. intuitionistic (l,h)-function rough descriptor systems can be better used to solve the problems of actual nonlinear control. Intuitionistic (l,h)-function rough descriptor systems will be a new research direction, and will become a universal method to solve practical problems. Finally, a practical example about the demand structure of real estate is given to illustrate effectiveness of the proposed method.
Key words:
Intuitionistic (l,h)-function rough sets, fuzzy descriptor systems, Intuitionistic (l,h)-function rough descriptor systems, Stability, Rough sets, Fuzzy sets
Fuzzy I_rw-closed Sets and Maps in Fuzzy Ideal Topological Spaces
A. Kandil
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002. E-mail:avmaths@gmail.com
E. Elavarasan
Research Scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002. E-mail:maths.aras@gmail.com
Abstract:
In this paper we introduce the concept of fuzzy I_rw-closed sets, fuzzy I_rw-continuous, fuzzy I_rw-irresolute mappings and fuzzy I_rw-compactness in fuzzy ideal topological spaces and obtain some of its basic properties and characterizations.
Key words:
Fuzzy ideal topological spaces, fuzzy I_rw-closed sets, fuzzy I_rw-continuous, fuzzy I_rw-irresolute mappings and fuzzy I_rw-compactness.
Generalized Regular Fuzzy Closed Sets and Maps in Double Fuzzy Topological Spaces
A. Vadivel
Department of Mathematics, Annamalai University, Annamalainagar,
Tamil Nadu-608 002. E-mail:avmaths@gmail.com
E. Elavarasan
Research Scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002. E-mail: maths.aras@gmail.com
Abstract:
In this paper, we introduce and studied a new class of fuzzy sets called (r,s)-generalized regular fuzzy closed (resp. open) sets and maps in a double fuzzy topological spaces. Also, we investigate the relationship between generalized regular double fuzzy continuous and generalized regular double fuzzy irresolute mappings. Furthermore, the relationship between the new concepts are introduced and established with some interesting examples.
Key words:
(r,s)-generalized regular fuzzy closed sets, generalized regular double fuzzy continuous and generalized regular double fuzzy irresolute mappings
Slightly Regular and Somewhat Slightly Generalized Regular Double Fuzzy Continuous Functions
A. Vadivel
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608002. E-mail: avmaths@gmail.com
E. Elavarasan
E. Elavarasan Research Scholar, Department of Mathematics, Annamalai University Annamalainagar, Tamil Nadu-608002.. E-mail: maths.aras@gmail.com
Abstract:
In this paper, we introduce the concept of slightly regular and somewhat slightly generalized regular double fuzzy continuous functions in double fuzzy topological spaces. Several interesting properties and characterizations are introduced and discussed. Furthermore, the relationship among the new concepts are introduced and established with some interesting counter examples.
Key words:
Double fuzzy topology, slightly regular double fuzzy continuous, slightly generalized regular double fuzzy continuous, somewhat slightly generalized regular double fuzzy continuous functions.
A Characterization of Generalized Cyclic Group
Naseem Ajmal and nusrat Sulfani
Department of Mathematics, Zakir Hussain Delhi College, University of Delhi, J. L. Nehru Marg New Delhi, India..E-mail:nasajmal@yahoo.com E-mail:nusral.indian@gmail.com
Iffat Jahan
Department of Mathematics, Ramjas College, University of Delhi, Delhi-11007, India.E-mail:ij.umar@yahoo.com
Abstract:
This paper demonstrates that a generalized cyclic group can be characterized in terms of the distributivity of its L-subgroup lattice wherein the join structure of a pair of L-subgroups is formulated with the help of the notion of tip extended pair of L-subgroups. Also using this join structure, the modularity of the lattice of normal L-subgroups of a group G is established.
Key words:
L-algebra, Lattices, Distributivity, Modularity, Groups, L-subgroups.
Contra Strong Precontinuity in Intuitionistic Fuzzy Structure Ring Spaces
R.Narmada Devi and S. Esther Thalitha Mary
Department of Mathematics, Women¡¯s Christian College, Chennai, Tamil Nadu, India. E-mail:narmadadevi23@gmail.com
Abstract:
In this paper, the concept of intuitionistic fuzzy structure ring contra continuous function is introduced. Several types of contra continuous functions in intuitionistic fuzzy structure ring spaces are discussed. Some interesting properties of intuitionistic fuzzy structure ring contra strongly precontinuous function is established.
Key words:
Intuitionistic fuzzy structure ring contra a-continuity, intuitionistic fuzzy structure ring contra precontinuity, intuitionistic fuzzy structure ring contra strong precontinuity
Minimal Solution of Fully Fuzzy Non-square Linear Systems
Mahmood Otadi and Maryam Mosleh
Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran.
Abstract:
In this paper, we investigate the existence of a minimal positive solution of fully fuzzy linear equation systems. We employ Dubois and Prade¡¯s approximate arithmetic operators on fuzzy numbers for finding a minimal positive fuzzy vector , where the coefficient fuzzy marix is matrix consisting of positive or negative fuzzy numbers.
Key words:
Fuzzy system; Pseudo inverse; Fuzzy linear systems
Fuzzy (a,b,q,d,I)-fold Boolean Ideals in MV-algebras
S. E. Abbas
Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia.Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt. E-mail:sabbas73@yahoo.com
I. Ibedou
Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt. E-mail: ismail.ibedou@gmail.com
Abstract:
In this paper, we introduce the concept of fuzzy (a,b,q,d,I)-continuous functions. In order to unify several characterizations and properties of some kinds of modifications of fuzzy continuous and fuzzy open functions, we introduce and explore a generalized form of fuzzy continuous and fuzzy open functions, namely fuzzy hh*-continuous functions and fuzzy hh*-open functions.
Key words:
Fuzzy P-continuous; fuzzy expansion continuous; fuzzy hh*-continuous function; fuzzy hh*-open function; fuzzy ideal.
Fuzzy Soft Separation Axioms Modulo Ideals
Rehman Jehangir.
Department of Mathematics, Preston University Kohat, Islamabad campus. E-mail: rehmanjehangir@hotmail.com
Abstract:
In this paper, we will introduce the notion of fuzzy soft-normal spaces and fuzzy soft-regular spaces based upon the phenomena of soft Ideals introduced at el. [2]. Then properties of these notions will be investigated with view of fuzzy soft ideals, which is the mixture of the two theories, i.e., fuzzy set theory [3] and soft set theory [4].
Key words:
Soft topological spaces, soft sets, fuzzy sets, soft fuzzy sets, soft mappings, fuzzy soft homeomorphism.
Statistically Relatively Approximations by Fuzzy Positive Linear Operators
Sevda Orhan, Burcak Kolay and Kamil Demirci
Sinop University Faculty of Sciences and Arts Departments of Mathematics 57000 Sinop, Turkey. E-mail:sevdaorhan@sinop.edu.tr E-mail:burcakyilmaz@sinop.edu.tr E-mail:kamild@sinop.edu.tr
Abstract:
Our primary interest in this paper is to prove a Korovkin-type approximation theorem of fuzzy positive linear operators via statistical relative uniform convergence and we get more general results than its statistical one which was given by Anastassiou, Duman [Anastassiou, G.A., Duman, O., Comput. Math. Appl. 2008; 55, 573-580]. Then, we display an example such that our method of convergence is stronger than its classical and statistical cases. Also, we compute the rates of statistical relative uniform convergence of sequences of fuzzy positive linear operators.
Key words:
Statistical relative uniform convergence, fuzzy positive linear operators, fuzzy Korovkin theory.
(s,t]-Fuzzy Incidence Graphs
John N. Mordeson
Department of Mathematics Creighton University Omaha, Nebraska USA 68178.E-mail: mordes@creighton.edu
Sunil Mathew
Department of Mathematics National Institute of Technology Calicut, India 673601.E-mail: mordes@creighton.edu
Abstract:
The extension of (s,t]-fuzzy graphs is extended to that of (s,t]-fuzzy incidence graphs. The results can be applied to the attack of illicit flow in fuzzy net-works by various interpretations of s and t. We show that an (s,t]-fuzzy incidence cut node has at least two (s,t]-fuzzy incidence end nodes and in some cases exactly two (s,t]-fuzzy incidence end nodes.
Key words:
Fuzzy incidence graph; quasi-fuzzy incidence graph; fuzzy incidence endnode; fuzzy incidence paths; illicit flow.
On Fuzzy Rough Continuous Functions
S. Anita Shanthi
Department of mathematics, Annamalai University, Annamalainagar-608002, India.E-mail: shanthi.anita@yahoo.com
N. Thillaigovindan
Department of mathematics, College of Natural Sciences, Arba Minch University, Arba Minch, Ethiopia.E-mail: thillaigovindan.natesan@gmail.com
R. Poovizhi
Department of mathemathics, Annamalai University, Annamalainagar-608002, India.E-mail: vanidoss6@gmail.com
Abstract:
In this paper we define fuzzy rough continuous functions. We construct some functions which are fuzzy rough continuous and further, prove pasting lemma for fuzzy rough continuous mappings.
Key words:
Fuzzy rough image, fuzzy rough inverse image, fuzzy rough subspace, fuzzy rough continuous function.
Macro Optimistic Control on Ecological System Modeling of A Kind of Competing Number of Population and The Analysis of Its Analyticity
Xiao Xiaonan
Tan Kah Kee College, Xiamen University, Zhangzhou 363105, Fujian, China.E-mail: xiaoxn@xujc.com
Abstract:
In the fuzzy measure space, macro optimizing analysis on ecosystem protection and its competiting population regulatory analytical research. Ecological research population dynamics and its population density of more scientific, rigorous, thus to a dynamic system modeling and analysis more complex ecological system and method provides a means of disposing of a valuable. Ecological population model Density restriction system analysis. It not only helps significantly with the modeling and analyzing of two kinds of competing and reciprocal ecological system, but also guides the analytical analysis and macro control of more complex ecological environment system.
Key words:
fuzzy measure; ecological population; fuzzy mapping; fuzzy transformation; macro optimistic control; dynamic analysis.
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