فهرست مطالب

  • Volume:17 Issue: 6, 2020
  • تاریخ انتشار: 1399/06/22
  • تعداد عناوین: 14
|
|
  • V. Angulo Castillo *, Y. Chalco-Cano, A. Khastan, E. J. Villamizar Roa Pages 1-15

    In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.

    Keywords: Fuzzy differential equations, generalized Hukuhara differentiability, contractive mappings, finite delay
  • G. Caterina *, V. Cafagna Pages 17-27

    In this article, we explore some aspects of Fourier analysis on fuzzy sets. In particular, we give a complete characterization of the Fourier coefficients of fuzzy subsets of the unit circle. The main result hinges on a theorem by the Italian mathematician Aldo Ghizzetti. This work was part of a broader project jointly with Professor Vittorio Cafagna, who, sadly, passed away unexpectedly in 2007. His intellectual breadth and inspiring passion for mathematics still keeps shining today.

    Keywords: Fuzzy sets, fuzzy sequences, fuzzy fourier transform, Spectral Analysis
  • A. Sheikhi *, R. Mesiar Pages 29-38

    In this work, we study the joint distribution function as well as the copula of (X-Z,Y) where the random vector (X, Y, Z)  is characterized by a copula C_{X,Y,Z}. We use this copula to analyze a measurement error model. Some theoretical results, several examples as well as a simulation study are proposed for illustration.

    Keywords: Copula, noise, perturbation of copula, random vector, Measurement Error
  • L. Nedovic *, E. Pap Pages 39-55

    In this paper we present construction of new fuzzy measures by applying extended aggregation function on a sequence of fuzzy measures. According to properties of applied aggregation function and properties of initial fuzzy measures, some properties of constructed fuzzy measure are proved. Additionally, one new extended aggregation function named extended weighted arithmetic mean of distorted arguments is introduced, and its relevant properties are proved. It is shown that this extended aggregation function, with appropriatedparameters, can be suitable for construction of new fuzzy measures. Other types of non-additive measures can be constructed in the same way, by applying aggregation function on the initial sequence of non-additive measures.

    Keywords: Fuzzy measure, non-additive measure, aggregation function
  • M. Dabiri *, M. Oghabi, H. Sarvari, M. S. Sabeti, H. R. Kashefi Pages 57-74

    One of the most important problems after natural disasters in every country is the preparation of temporary accommodations for victims. The developers of preventive plans are also faced with numerous uncertainties in this crisis management topic. Furthermore, uncertainty is not defined in classical mathematical sets. Therefore, the use of intuitionistic fuzzy sets, which include considerations for uncertainty, can be useful in prospective planning in order to counteract possible risks. The main aim of this study is to propose a combined method using risk management and Intuitionistic Fuzzy Analytic Hierarchy Process (IF-AHP) for locating and prioritizing the post-earthquake temporary accommodation sites. To this end, the city of Sanandaj in Iran was selected as the case study of this method. First, brainstorming sessions with 9 crisis management experts from various organizations of Kurdistan province were used to determine 6 decision-making criteria. These criteria were based on identified risks in temporary accommodation process after an earthquake in the region, and criteria extracted from previous studies regarding temporary accommodation locations. The possible alternatives for temporary accommodation sites in this study were 13 different urban public spaces. The pairwise comparison of criteria based on the aim and pairwise comparison of alternative temporary accommodation options based on each criterion was carried out by experts and using intuitionistic fuzzy sets. Finally, the IF-AHP process was used to determine the priority of each alternative.

    Keywords: Temporary accommodation, risk management, Intuitionistic fuzzy sets, AHP, Iran
  • M. N. Kesicioglu *, U. Ertugrul, F. Karacal Pages 75-91

    In this paper, the notions of the linear and g-convex combination for implications which extend the notion of convex combination of fuzzy implications on the unit interval to bounded lattices are introduced. A necessary and sufficient condition for the g-convex combination to be an implication is determined. Some basic properties of the g-convex combinations are discussed. Also, some sets which are defined by the linear (g-convex) combination of two implications on a bounded lattice are studied and the relationships between them are discussed. Moreover, the lattice theoretical structure of the mentioned sets is investigated.

    Keywords: Fuzzy implication, linear combination, convex combination, Bounded lattice
  • T. He *, G. Wei, R. Lin, J. Lu, C. Wei, J. Wu Pages 93-105

    In a construction project, there are many factors that affect the project quality, such as people, materials, machinery, environment, etc. Among them, people have the greatest influence on the project quality, whether people participate directly or indirectly. This paper mainly evaluates human factors in the process of construction project management, such as workers’ proficiency, workers’ safety awareness, technical workers’ quality, and workers’ emergency capacity, with the purpose of helping China’s construction project to proceed smoothly. In this manuscript, a multi-attribute group decision-making (MAGDM) technique based on Pythagorean interval 2-tuple linguistic numbers (PI2TLNs) and VIKOR method is proposed to evaluate human factors in construction projects. PI2TLNs are used to represent performance assessments of decision makers. Relying on Pythagorean interval 2-tuple linguistic weighted averaging (PI2TLWA)/Pythagorean interval 2-tuple linguistic weighted geometric (PI2TLWG) operator, the evaluation information given by experts is fused into a group decision matrix. Combined with the essential VIKOR method, PI2TLN-VIKOR’ framework is established. The effectiveness of this method is verified by an example, and compared with two algorithms and PI2TLN-TODIM method.

    Keywords: Multiple attribute group decision making (MAGDM), Pythagorean interval 2-tuple linguistic numbers (PI2TLNs), VIKOR method, construction project management
  • S. Dai * Pages 107-114

    In this paper, we introduce the complex fuzzy ordered weighted distance (CFOWD) measure. It is a new measure that uses the main characteristics of the the orderedweighted averaging (OWA) operator and uncertain information represented as complex fuzzy values. This measure includes a wide range of distance measuressuch as the complex fuzzy maximum distance, the complex fuzzy minimum distance, the normalized complex fuzzy distance (NCFD), the complex fuzzy ordered weighted Hamming distance (CFOWHD), complex fuzzy ordered weighted Euclidean distance (CFOWED), complex fuzzy ordered weighted geometricdistance (CFOWGD), the normalized complex fuzzy Hamming distance (NCFHD) and the normalized complex fuzzy Euclidean distance (NCFED).We study some of its main properties. Finally, based on CFOWD measures, we give an illustrative example regarding the selected problem.

    Keywords: Complex fuzzy sets, OWA operator, distance measures, complex fuzzy ordered weighted distance, Decision making
  • R. Afshari *, B. Sadeghpour Gildeh, A. Ahmadi Nadi Pages 115-131

    The conventional advanced process yield index $S^{T}_{pk}$ is widely applied in industry to provide an exact measure of the overall production yield whose quality characteristics are mutually independent and multivariate normally distributed. While  one can find numerous studies that consider a crisp estimation of $S^{T}_{pk}$ to evaluate and test the overall process yield, the recorded measurements of product quality characteristics are not always reported precisely. This paper presents a new fuzzy-based method to assess the overall process yield in the presence of a specified degree of ambiguity for the sample data. After finding a fuzzy estimator of $S^{T}_{pk}$ based on Buckley's approach, a new fuzzy three-decision testing rule is proposed to evaluate process performance based on critical values and fuzzy $p$-values. Subsequently, this work extends the application of the proposed method to the class of correlated characteristics by adopting the principal component analysis technique. The introduced fuzzy testing procedure includes the existing customary binary-decision testing rule as a spacial case. In addition, comparative studies are conducted to display the benefits of the proposed rule. Finally, two industrial examples are given for independent and correlated characteristics to guide the practitioners.

    Keywords: Process capability indices, process yield, Hypothesis testing, $p$-value, Critical value, fuzzy numbers arithmetic
  • L. Wang *, F. G. Shi Pages 133-137

    In this note, our aim is to present the relation between msets and $L$-fuzzy sets. We prove that an mset can be viewed as an $L$-fuzzy set.  An mset topology can be viewed as an  L-topology. Therefore, it follows that mset topologies are redundant in theoretical sense.

    Keywords: L-fuzzy set, L-topology, mset, mset topology
  • S. M. Ghasemi Nejad *, R. A. Borzooei, M. Bakhshi Pages 139-156

    In this paper, the notions of Bosbach states and state-morphisms on implication basic algebra are introduced, along with their properties and related results. It is proved that Bosbach states coincide with Riecan states on bounded implication basic algebras. Accordingly, the relations between Bosbach states and state-morphisms are discussed. It is proved that  sm  is a state-morphism on IB if and only if  sm  is a Bosbach state and  sm(x V y)=sm(x)V sm(y) . In addition, the concept of internal states on implication basic algebras is defined, and accordingly, the notions of IS-prefilters, IS-filters, and IS-congruence relations on implication basic algebras are introduced. Then, it is proved that one-to-one correspondence is available between the set of all IS-filters and IS-congruence relations on implication basic algebras.Finally, the new notion of generalized state maps from an implication basic algebra  IB1  to an arbitrary implication basic algebra  IB2  is defined and generalized state-morphisms and generalized internal states as two types of individual generalized state maps are introduced. This confirmed that the generalized internal states are a generalization of internal states, and the generalized state-morphisms are a generalization of state-morphisms on implication basic algebras. Finally, it is shown that a generalized internal state  gs  is an internal state on implication basic algebra IB if  gs2=g.

    Keywords: Basic algebra, implication basic algebra, Bosbach state, Rievcan state, state-morphism, internal state, generalized state
  • M. Mostafavi * Pages 157-174

    In this paper, we generalize all of the fuzzy structures which we have discussed in cite{MM} to $L$-fuzzy set theory, where $L= <L,leq,bigwedge,bigvee, '>$ denotes a complete distributive lattice with at least two elements. We define the concept of an $LG$-fuzzy topological space $(X, mathfrak{T} )$ which $X$ is itself an $L$-fuzzy subset of a crisp set M and $mathfrak{T}$ is an $L$-gradation of openness of $L$-fuzzy subsets of $M$ which are less than or equal to $ X $. Then we define $C^infty$ $L$-fuzzy manifolds with $L$-gradation of openness and $C^infty$ $LG$-fuzzy mappings of them such as $LG$-fuzzy immersions and $LG$-fuzzy imbeddings. We fuzzify the concept of the product manifolds with $L$-gradation of openness and define $LG$-fuzzy quotient manifolds when we have an equivalence relation on $M$ and investigate the conditions of the existence of the quotient manifolds. We also introduce $LG$-fuzzy immersed, imbedded and regular submanifolds.

    Keywords: $C^infty$ $LG$-fuzzy n-manifolds, $C^infty$ $LG$ -fuzzy mappings, $LG$-fuzzy quotient manifolds, $LG$-fuzzy immersion, regular $LG$-fuzzy submanifolds
  • L. C. Ciungu *, A. Borumand Saeid, A. Rezaei Pages 175-191

    In this paper, we define and study the modal operators on pseudo-BE algebras as special cases of closure operators on these structures.We prove that the composition of two modal operators is a modal operator if and only if they commute.For the particular case of a good pseudo-BCK algebra an equivalent definition of the modal operators is given, and the notion of a strong modal operator is introduced and studied.We also define the notions of modal deductive systems and modal homomorphisms on pseudo-BE algebras and we investigate their properties. It is proved that, if two modal operators have the same image, then they coincide.Also, given a normal modal deductive system H of a distributive modal pseudo-BE algebra $(A,f)$ we construct a modal operator on the quotient pseudo-BE algebra A/H.

    Keywords: Non-classical logic, pseudo-BE algebra, Modal operator, strong modal operator, modal deductive system, modal homomorphism
  • K. Nelsia Priya Dharsini *, M. C. Sashikkumar Pages 193-201

    Construction labour productivity is a foremost tool used for data assessing, planning, budgeting and establishment of construction project. Influence of multi variation factors results in decrease of labour productivity in construction field. Still we are dependent on traditional technique comprises with reference published data or on the experience of estimators so as to estimate the construction labour productivity. The objective of this research is to recognize and map the association between identified factors affecting the construction labour productivity and individual productive rates through a systematic engineering model. This process comprises with calculation of productivity, collection of productivity information and using that information for designing construction model. Also, it intends to build up an optimized probabilistic model for construction industry. Initially, the raw data for instance labour cost, capital cost, and energy consumption has been considered as input so as to compute objective function and total productive factor. The membership function is developed and employed in fuzzy optimization algorithm to optimize the productivity rate in construction. The results through anticipated model prove to be more effective model with reasonable generalization capabilities compared to existing traditional work. Furthermore, this paper provides an insight of probabilistic model comprising internal in addition to external variable factors such as supervision, work rules, government rules and public labour unions.

    Keywords: Fuzzy optimization algorithm, labour productivity, membership function, objective function, total productivity factor