University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2016
08
28
Cover vol. 12, no.4, August 2015-
0
EN
10.22111/ijfs.2016.2644
http://ijfs.usb.ac.ir/article_2644.html
http://ijfs.usb.ac.ir/article_2644_0b763cc2fad57051d99df4e9a72bcc60.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
Trapezoidal intuitionistic fuzzy prioritized aggregation operators and application to multi-attribute decision making
1
32
EN
Shuping
Wan
Jiangxi University of Finance and Economics
shupingwan@163.com
Jiuying
Dong
Jiangxi University of Finance and Economics
jiuyingdong@126.com
Deyan
Yang
Qingdao Technological University
270632966@qq.com
10.22111/ijfs.2015.2083
In some multi-attribute decision making (MADM) problems, various relationships among the decision attributes should be considered. This paper investigates the prioritization relationship of attributes in MADM with trapezoidal intuitionistic fuzzy numbers (TrIFNs). TrIFNs are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. Firstly, the weighted possibility means of membership and non-membership functions for TrIFNs are defined. Hereby, a new lexicographic ranking method for TrIFNs is presented. Then, a series of trapezoidal intuitionistic fuzzy prioritized aggregation operators are developed, including the trapezoidal intuitionistic fuzzy prioritized score (TrIFPS) operator, trapezoidal intuitionistic fuzzy prioritized weighted average (TrIFPWA) operator, trapezoidal intuitionistic fuzzy prioritized “and” (TrIFP-AND) operator and trapezoidal intuitionistic fuzzy prioritized “or” (TrIFP-OR) operator. Some desirable properties of these operators are also discussed. By utilizing the TrIFPWA operator, the attribute values of alternatives are integrated into the overall ones, which are used to rank the alternatives. Thus, a new method is proposed for solving the prioritized MADM problems with TrIFNs. Finally, the applicability of the proposed method is illustrated with a supply chain collaboration example.
Multi-attribute decision making,Trapezoidal intuitionistic fuzzy number,Prioritized aggregation operators,Weighted possibility mean
http://ijfs.usb.ac.ir/article_2083.html
http://ijfs.usb.ac.ir/article_2083_b0bfd4eb1264f73143bcf1b0715c6d2f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
An Optimization Model for Multi-objective Closed-loop Supply Chain Network under uncertainty: A Hybrid Fuzzy-stochastic Programming Method
33
57
EN
Behnam
Vahdani
Faculty of Industrial and Mechanical Engineering, Qazvin Branch,
Islamic Azad University, Qazvin, Iran
b.vahdani@ut.ac.ir
10.22111/ijfs.2015.2084
In this research, we address the application of uncertaintyprogramming to design a multi-site, multi-product, multi-period,closed-loop supply chain (CLSC) network. In order to make theresults of this article more realistic, a CLSC for a case study inthe iron and steel industry has been explored. The presentedsupply chain covers three objective functions: maximization ofprofit, minimization of new products' delivery time, collectiontime and disposal time of used products, and maximizingflexibility. To solve the proposed model, an interactive hybridsolution methodology is adopted through combining a hybridfuzzy-stochastic programming method and a fuzzy multi-objectiveapproach. Finally, the numerical experiments are given todemonstrate the significance of the proposed model and thesolution approach.
Closed-loop supply chain network design,Multi-objective decision making,Fuzzy mathematical
programming,Stochastic programming
http://ijfs.usb.ac.ir/article_2084.html
http://ijfs.usb.ac.ir/article_2084_06fa0c96a161e557d8e35fa38ff247a5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
Developing new methods to monitor phase II fuzzy linear profiles
59
77
EN
G.
Moghadam
Department of Industrial Engineering, Isfahan University Of Technology, Isfahan, Iran
g.moghadam@in.iut.ac.ir
G. A.
Raissi Ardali
Department of Industrial Engineering, Isfahan University Of
Technology, Isfahan, Iran
raissi@cc.iut.ac.ir
V.
Amirzadeh
Department of Statistics, Shahid Bahonar University Of Kerman, Kerman, Iran
v_amirzadeh@uk.ac.ir
10.22111/ijfs.2015.2085
In some quality control applications, the quality of a process or a product is described by the relationship between a response variable and one or more explanatory variables, called a profile. Moreover, in most practical applications, the qualitative characteristic of a product/service is vague, uncertain and linguistic and cannot be precisely stated. The purpose of this paper is to propose a method for monitoring simple linear profiles with a fuzzy and ambiguous response. To this end, fuzzy EWMA and fuzzy Hotelling's $T^2$ statistics are developed using the extension principle. To monitor phase II of fuzzy linear profiles, two methods using fuzzy hypothesis testing, are presented based on these statistics. A case study in ceramic and tile industry, is provided. A simulation study to evaluate the performance of the proposed methods in terms of average run length (ARL) criterion showed that the proposed methods are very efficient in detecting various sized shifts in process profiles.
Fuzzy qualitative profiles,Fuzzy EWMA statistic,Fuzzy Hotelling's $T^2$
statistic,Fuzzy hypothesis testing,ARL criterion
http://ijfs.usb.ac.ir/article_2085.html
http://ijfs.usb.ac.ir/article_2085_a27ba11215a248cd57d2125dd6d95839.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
Effects of Project Uncertainties on Nonlinear Time-Cost Tradeoff Profile
79
100
EN
Bhupendra Kumar
Pathak
Department of Mathematics, Jaypee University, Anoop-
shahr, Bulandshahr, 203390 India
pathak.maths@gmail.com
Sanjay
Srivastava
Department of Mechanical Engineering, Dayalbagh Educational
Institute (Deemed University), Dayalbagh, Agra, 282005 India
ssrivastava.engg@gmail.com
10.22111/ijfs.2015.2086
This study presents the effects of project uncertainties on nonlinear time-cost tradeoff (TCT) profile of real life engineering projects by the fusion of fuzzy logic and artificial neural network (ANN) models with hybrid meta-heuristic (HMH) technique, abridged as Fuzzy-ANN-HMH. Nonlinear time-cost relationship of project activities is dealt with ANN models. ANN models are then integrated with HMH technique to search for Pareto-optimal nonlinear TCT profile. HMH technique incorporates simulated annealing in the selection process of multiobjective genetic algorithm. Moreover, in real life engineering projects, uncertainties like management experience, labor skills, and weather conditions are commonly involved, which affect the duration and cost of the project activities. Fuzzy-ANN-HMH analyses responsiveness of nonlinear TCT profile with respect to these uncertainties. A comparison of Fuzzy-ANN-HMH is made with another method in literature to solve nonlinear TCT problem and the superiority of Fuzzy-ANN-HMH is demonstrated by results. The study gives project planners to carry out the best plan that optimizes time and cost to complete a project under uncertain environment.
Fuzzy logic,Artificial neural network,Hybrid Meta-Heuristic,Time-Cost Tradeoff
http://ijfs.usb.ac.ir/article_2086.html
http://ijfs.usb.ac.ir/article_2086_403c29a14527408bbc45deea8ecbb8d0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
On the compactness property of extensions of first-order G"{o}del logic
101
121
EN
Seyed Mohammad Amin
Khatami
Department of Mathematics and Computer Science,
Amirkabir University of Technology, Tehran, Iran
khatami@ipm.ir
Massoud
Pourmahdian
Department of Mathematics and Computer Science, Amirk-
abir University of Technology, Tehran, Iran
pourmahd@ipm.ir
10.22111/ijfs.2015.2087
We study three kinds of compactness in some variants of G"{o}del logic: compactness,entailment compactness, and approximate entailment compactness.For countable first-order underlying language we use the Henkinconstruction to prove the compactness property of extensions offirst-order g logic enriched by nullary connective or the Baaz'sprojection connective. In the case of uncountable first-order languagewe use the ultraproduct method to derive the compactness theorem.
G"{o}del logic,Compactness theorem
http://ijfs.usb.ac.ir/article_2087.html
http://ijfs.usb.ac.ir/article_2087_5cf9578eb43b78cc8613cbd97e4aa22d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
Remarks on completeness of lattice-valued Cauchy spaces
123
132
EN
Gunther
Jager
School of Mechanical Engineering, University of Applied Sciences
Stralsund, 18435 Stralsund, Germany
g.jager@ru.ac.za, gunther.jaeger@fh-stralsund.de
10.22111/ijfs.2015.2088
We study different completeness definitions for two categories of lattice-valued Cauchy spaces and the relations between these definitions. We also show the equivalence of a so-called completion axiom and the existence of a completion.
$L$-topology,$L$-Cauchy space,Completeness,Completion
http://ijfs.usb.ac.ir/article_2088.html
http://ijfs.usb.ac.ir/article_2088_d882c9cec06c103eb07a676c35f36c08.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces
133
146
EN
M.
Abbas
Department of Mathematics and Applied Mathematics, University of Pre-
toria, Hatfield, Pretoria, South Africa
mujahid.abbas@up.ac.za
B.
Ali
Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0002, Pretoria South Africa
basit.aa@gmail.com
10.22111/ijfs.2015.2089
Generalized Geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. Example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. As an application, existence of coincidencefuzzy points and common fixed fuzzy points for hybrid pair of single valuedself mapping and a fuzzy mapping is also established.
Fixed fuzzy point,Geraghty type,Fuzzy mapping,Fuzzy set,Approximate quantity
http://ijfs.usb.ac.ir/article_2089.html
http://ijfs.usb.ac.ir/article_2089_fcaab88975e3dd3155939a4cf038845b.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
30
Quasi-contractive Mappings in Fuzzy Metric Spaces
147
153
EN
A.
Amini-Harandi
Department of Mathematics, University of Isfahan, Isfahan, 81745-
163, Iran
a.amini@sci.ui.ac.ir
D.
Mihet
West University of Timisoara, Faculty of Mathematics and Computer
Science, Bv. V. Parvan 4, 300223, Timisoara, Romania
mihet@math.uvt.ro
10.22111/ijfs.2015.2090
We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.
Fuzzy metric space,Fuzzy quasi-contractive mapping,Fixed point
http://ijfs.usb.ac.ir/article_2090.html
http://ijfs.usb.ac.ir/article_2090_f9434164fee8710359e4bddbf44257bf.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
4
2015
08
29
Persian-translation vol. 12, no.4, August 2015
157
164
EN
10.22111/ijfs.2015.2645
http://ijfs.usb.ac.ir/article_2645.html
http://ijfs.usb.ac.ir/article_2645_55eaa69a93caf727a23adc9bbe864157.pdf