2018-09-26T16:30:09Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=534
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
Cover vol. 15, no. 2, April 2018
2018
04
01
0
http://ijfs.usb.ac.ir/article_3756_a827a8e2afdf2fe8eb4bb7c5a5bd0217.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
POINTWISE CONVERGENCE TOPOLOGY AND FUNCTION SPACES IN FUZZY ANALYSIS
D. R.
Jardon
M.
Sanchis
We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(mathbb{E}sp{1},dsb{infty})$ endowed with the pointwise convergence topology. Our results generalize the classical ones for continuous real-valued functions. The field of applications of this approach seems to be large, since the classical case allows many known devices to be fitted to general topology, functional analysis, coding theory, Boolean rings, etc.
Fuzzy-number
Fuzzy analysis
Function space
Pointwise convergence
Dual map
Evaluation map
Fr'echet space
Grothendieck's theorem
Cardinal function
2018
04
29
1
21
http://ijfs.usb.ac.ir/article_3753_2b8058838050761d26d4f9d8d6a43cfd.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS
Chong
Shen
Fu-Gui
Shi
The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.
$L$-convex system
Scott-hull space
Induced $L$-convex structure
Quotient system
2018
04
29
23
40
http://ijfs.usb.ac.ir/article_3754_de43053a691df5ee38c5df21e874a1b9.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
BASES AND CIRCUITS OF FUZZIFYING MATROIDS
Shao-Jun
Yang
Fu-Gui
Shi
In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievableexample is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for thebasis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroidis equivalent to a mapping which satisfies the basis axioms or circuit axioms.
Fuzzifying matroid
Fuzzifying base-map
Fuzzifying basis axiom
Fuzzifying circuit-map
Fuzzifying circuit axiom
2018
04
29
41
52
http://ijfs.usb.ac.ir/article_3755_3eb0a96d3cd8eee16ffe525dc4b0db85.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
QUANTALE-VALUED SUP-ALGEBRAS
Radek
Slesinger
Based on the notion of $Q$-sup-lattices (a fuzzy counterpart of complete join-semilattices valuated in a commutative quantale), we present the concept of $Q$-sup-algebras -- $Q$-sup-lattices endowed with a collection of finitary operations compatible with the fuzzy joins. Similarly to the crisp case investigated in cite{zhang-laan}, we characterize their subalgebras and quotients, and following cite{solovyov-qa}, we show that the category of $Q$-sup-algebras is isomorphic to a certain subcategory of a category of $Q$-modules.
$Q$-order
$Q$-sup-lattice
$Q$-ordered algebra
$Q$-sup-algebra
Quotient
Subalgebra
2018
04
29
53
73
http://ijfs.usb.ac.ir/article_3759_15a2e675b28ad7601164f7c1adefa982.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
BASE AXIOMS AND SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES
Zhen-Yu
Xiu
Bin
Pang
Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $mathscr{B}$ (resp. $varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with $mathscr{B}$ (resp. $varphi$) as its base (resp. subbase). As applications, it is proved that bases and subbases can be used to characterize CP mappings and CC mappings between $M$-fuzzifying convex spaces.
$M$-fuzzifying convex structure
Base axiom
Subbase axiom
CP mapping
CC mapping
2018
04
29
75
87
http://ijfs.usb.ac.ir/article_3760_b615cc331d0d71e72929cb7e6d511ca6.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
ON THE MATCHING NUMBER OF AN UNCERTAIN GRAPH
Hui
Li
Bo
Zhang
Jin
Peng
Uncertain graphs are employed to describe graph models with indeterministicinformation that produced by human beings. This paper aims to study themaximum matching problem in uncertain graphs.The number of edges of a maximum matching in a graph is called matching numberof the graph. Due to the existence of uncertain edges, the matching number of an uncertain graph is essentially an uncertain variable.Different from that in a deterministic graph, it is more meaningful to investigate the uncertain measure that an uncertain graph is $k$-edge matching (i.e., the matching number is greater than or equal to $k$).We first study the properties of the matching number of an uncertain graph, and then give a fundamental formula for calculating the uncertain measure. We further prove that the fundamental formula can be transformedinto a simplified form. What is more, a polynomial time algorithm to numerically calculate the uncertain measure is derived from the simplified form.Finally, some numerical examples are illustrated to show the application and efficiency of the algorithm.
Uncertainty theory
Uncertain measure
Maximum matching
Matching number
Uncertain graph
2018
04
29
89
108
http://ijfs.usb.ac.ir/article_3761_843af24ca521b1d9f207a6a79751dcc4.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
RESOLUTION OF NONLINEAR OPTIMIZATION PROBLEMS SUBJECT TO BIPOLAR MAX-MIN FUZZY RELATION EQUATION CONSTRAINTS USING GENETIC ALGORITHM
Hassan Dana
Mazraeh
Ali Abbasi
Molai
This paper studies the nonlinear optimization problems subject to bipolar max-min fuzzy relation equation constraints. The feasible solution set of the problems is non-convex, in a general case. Therefore, conventional nonlinear optimization methods cannot be ideal for resolution of such problems. Hence, a Genetic Algorithm (GA) is proposed to find their optimal solution. This algorithm uses the structure of the feasible domain of the problems and lower and upper bound of the feasible solution set to choose the initial population. The GA employs two different crossover operations: 1- N-points crossover and 2- Arithmetic crossover. We run the GA with two crossover operations for some test problems and compare their results and performance to each other. Also, their results are compared with the results of other authors' works.
Bipolar fuzzy relation equations
Max-min composition
Nonlinear optimization
Genetic algorithm
2018
04
29
109
131
http://ijfs.usb.ac.ir/article_3762_2154eb21dc0b0710dca0c101b1419ad8.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
SOME PROPERTIES OF UNCERTAIN INTEGRAL
Cuilian
You
Na
Xiang
Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integral such as nonnegativity, monotonicity, intermediateresults are studied.
Uncertain variable
Uncertain process
Uncertain integral
Monotonicity
2018
04
29
133
142
http://ijfs.usb.ac.ir/article_3764_a8b8715f896bcb2aeaba59a2dcf9c552.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
POWERSET OPERATORS OF EXTENSIONAL FUZZY SETS
J.
Mockor
Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theory there exists a strong relation, which can be represented as a homomorphism. Analogical results are also proved for new powerset theories of extensional fuzzy sets.
Extensional fuzzy sets
Powerset operators
Monads in categories
2018
04
29
143
163
http://ijfs.usb.ac.ir/article_3765_d621b021f19eac714bf7d16a69c7da75.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM
S. P.
Tiwari
I.
Perfilieva
A. P.
Singh
The aim of the present work is to study the $F$-transform over a generalized residuated lattice. We discuss the properties that are common with the $F$-transform over a residuated lattice. We show that the $F^{uparrow}$-transform can be used in establishing a fuzzy (pre)order on the set of fuzzy sets.
Generalized residuated lattice
Fuzzy partition
Direct $F$-transform
Inverse $F$-transform
2018
04
29
165
182
http://ijfs.usb.ac.ir/article_3766_2e1aae518019f70a853a251e8e71e464.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2018
15
2
Persian-translation Vol.15, No.2 April 2018
2018
04
01
185
194
http://ijfs.usb.ac.ir/article_3767_5165ec122a668e255726ff4271fa0e61.pdf