فهرست مطالب

fuzzy systems - Volume:12 Issue: 6, Dec 2015

Iranian journal of fuzzy systems
Volume:12 Issue: 6, Dec 2015

  • تاریخ انتشار: 1394/10/15
  • تعداد عناوین: 8
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  • L. Kovarova, R. Viertl Pages 1-16
    Measurement results contain different kinds of uncertainty. Besides systematic errors and random errors individual measurement results are also subject to another type of uncertainty, so-called emph{fuzziness}. It turns out that special fuzzy subsets of the set of real numbers $RR$ are useful to model fuzziness of measurement results. These fuzzy subsets $x^*$ are called emph{fuzzy numbers}. The membership functions of fuzzy numbers have to be determined. In the paper first a characterization of membership function is given, and after that methods to obtain special membership functions of fuzzy numbers, so-called emph{characterizing functions} describing measurement results are treated.
    Keywords: Characterizing function, Fuzzy data, Generating families, Measurement results, Vector, characterizing function
  • Yiming Tang, Xuezhi Yang, Xiaoping Liu, Juan Yang Pages 17-40
    The main condition of the differently implicational inference algorithm is reconsidered from a contrary direction, which motivates a new fuzzy inference strategy, called the double fuzzy implications-based restriction inference algorithm. New restriction inference principle is proposed, which improves the principle of the full implication restriction inference algorithm. Furthermore, focusing on the new algorithm, we analyze the basic property of its solution, and then obtain its optimal solutions aiming at the problems of fuzzy modus ponens (FMP) as well as fuzzy modus tollens (FMT). Lastly, comparing with the full implication restriction inference algorithm, the new algorithm can make the inference closer, and generate more, better specific inference algorithms.
    Keywords: uzzy inference, Fuzzy system, Compositional rule of inference (CRI) algorithm, Full implication inference algorithm, Fuzzy implication
  • Satyajit Das, Debashree Guha Pages 41-74
    Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted power harmonic mean (TrIFOWPHM) operator, trapezoidal intuitionistic fuzzy induced ordered weighted power harmonic mean (TrIFIOWPHM) operator and trapezoidal intuitionistic fuzzy hybrid power harmonic mean (TrIFhPHM) operator are introduced to aggregate the decision information. The desirable properties of these operators are presented in detail. A prominent characteristic of these operators is that, the aggregated value by using these operators is also a TrIFN. It is observed that the proposed TrIFWPHM operator is the generalization of trapezoidal intuitionistic fuzzy weighted harmonic mean (TrIFWHM) operator, trapezoidal intuitionistic fuzzy weighted arithmetic mean (TrIFWAM) operator, trapezoidal intuitionistic fuzzy weighted geometric mean (TrIFWGM) operator and trapezoidal intuitionistic fuzzy weighted quadratic mean (TrIFWQM) operator, {it i.e.,} we can easily reduce the TrIFWPHM operator to TrIFWHM, TrIFWGM, TrIFWAM and TrIFWQM operators, depending upon the decision situation. Further, we develop an approach to multi attribute group decision making (MAGDM) problem on the basis of the proposed aggregation operators. Finally, the effectiveness and applicability of our proposed MAGDM model, as well as comparison analysis with other approaches are illustrated with a practical example.
    Keywords: Intuitionistic fuzzy number, Power mean, Harmonic mean, Ranking, Multi, attribute group decision making
  • M. Saheli Pages 75-93
    In the present paper, we investigate a connection between two fuzzy inner product one of which arises from Felbin's fuzzy norm and the other is based on Bag and Samanta's fuzzy norm. Also we show that, considering a fuzzy inner product space, how one can construct another kind of fuzzy inner product on this space.
    Keywords: Fuzzy norm, Fuzzy inner product, Fuzzy Hilbert space
  • S. H. Wang, A. A. N. Abdou, Y. J. Cho Pages 95-108
    In this paper, we give some new coupled common fixed point theorems for probabilistic $varphi$-contractions in Menger probabilistic metric spaces. As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improve the corresponding results given by some authors. Finally, we give one example to illustrate the main results of this paper.
    Keywords: Menger probabilistic metric space, probabilistic $varphi$, contraction, coupled fixed points
  • Chengyu Liang, Fu, Gui Shi Pages 109-128
    In this paper, the Urysohn, completely Hausdorff and completely regular axioms in $L$ topological spaces are generalized to $L$-fuzzy topological spaces. Each $L$-fuzzy topological space can be regarded to be Urysohn, completely Hausdorff and completely regular to some degree. Some properties of them are investigated. The relations among them and $T_2$ in $L$-fuzzy topological spaces are discussed.
    Keywords: $L$, fuzzy topology, Urysohn axiom, Completely Hausdorff axiom, Completely regular axiom
  • Chong Shen, Shanshan Zhang, Wei Yao, Changcheng Zhang Pages 129-140
    With the unit interval [0,1] as the truth value table, Chen and Wu presented the concept of possibility computation over dcpos. Indeed, every possibility computation can be considered as a [0,1]-valued Scott open set on a dcpo. The aim of this paper is to study Chen-Wu's duality on quantale-valued setting. For clarity, with a commutative unital quantale $L$ as the truth value table, we introduce a concept of fuzzy possibility computations over fuzzy dcpos and then establish an equivalence between their denotational semantics and their logical semantics.
    Keywords: Fuzzy Scott topology, $L$, fuzzy possibility computation, Denotational semantics, $L$, fuzzy predicate transformer, $L$, fuzzy logical semantics
  • Z. Sadeghi, S. M. Vaezpour Pages 141-154
    The purpose of this paper is to present some coincidence point and common fixed point theorems for multivalued contraction maps in complete fuzzy metric spaces endowed with a partial order. As an application, we give an existence theorem of solution for general classes of integral inclusions by the coincidence point theorem.
    Keywords: Coincidence point, Fixed point, Multivalued mapping, Ordered fuzzy metric space, Volterra integral inclusion