Volume 23 (2026)
Volume 22 (2025)
Volume 21 (2024)
Volume 20 (2023)
Volume 19 (2022)
Volume 18 (2021)
Volume 17 (2020)
Volume 16 (2019)
Volume 14 (2017)
Volume 13 (2016)
Volume 12 (2015)
Volume 11 (2014)
Volume 10 (2013)
Volume 9 (2012)
Volume 8 (2011)
Volume 7 (2010)
Volume 6 (2009)
Volume 5 (2008)
Volume 4 (2007)
Volume 3 (2006)
Volume 2 (2005)
Volume 1 (2004)
ON THE FUZZY SET THEORY AND AGGREGATION FUNCTIONS: HISTORY AND SOME RECENT ADVANCES

R. Mesiar; A. Kolesarova

Volume 15, Issue 7 , September and October 2018, Pages 1-12

Abstract
  Several fuzzy connectives, including those proposed by Lotfi Zadeh, can be seen as linear extensions of the Boolean connectives from the scale $\{0,1\}$ into the scale $[0,1]$. We discuss these extensions, in particular, we focus on the dualities arising from the Boolean dualities. These dualities allow ...  Read More

SUPER- AND SUB-ADDITIVE ENVELOPES OF AGGREGATION FUNCTIONS: INTERPLAY BETWEEN LOCAL AND GLOBAL PROPERTIES, AND APPROXIMATION

J. Siran

Volume 15, Issue 7 , September and October 2018, Pages 13-21

Abstract
  Super- and sub-additive transformations of aggregation functions have been recently introduced by Greco, Mesiar, Rindone and \v{S}ipeky [The superadditive and the subadditive transformations of integrals and aggregation functions, {\it Fuzzy Sets and Systems} {\bf 291} (2016), 40--53]. In this article ...  Read More

TREND-CYCLE ESTIMATION USING FUZZY TRANSFORM OF HIGHER DEGREE

Michal Holcapek; Linh Nguyen

Volume 15, Issue 7 , September and October 2018, Pages 23-54

Abstract
  In this paper, we provide theoretical justification for the application of higher degree fuzzy transform in time series analysis. Under the assumption that a time series can be additively decomposed into a trend-cycle, a seasonal component and a random noise, we demonstrate that the higher degree fuzzy ...  Read More

FUZZY LOGISTIC DIFFERENCE EQUATION

A. Khastan

Volume 15, Issue 7 , September and October 2018, Pages 55-66

Abstract
  In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= \beta x_n(1- x_n),\ \ n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $\beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and ...  Read More

TRANSPORT EQUATION WITH FUZZY DATA

Fariba Bahrami; Robab Alikhani; Alireza Khastan

Volume 15, Issue 7 , September and October 2018, Pages 67-78

Abstract
  In this paper, we use the generalized differentiability concept tostudy the fuzzy transport equation. We consider transport equationin the homogeneous and non-homogeneous cases with fuzzy initialcondition. We also present the solution when speed parameter is a fuzzynumber. Our method is based on the ...  Read More

ADMISSIBLE PARTITION FOR BL-GENERAL FUZZY AUTOMATON

M. Shamsizadeh; M. M. Zahedi; Kh. Abolpour

Volume 15, Issue 7 , September and October 2018, Pages 79-90

Abstract
  In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, ...  Read More

AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS

Saeide Zahiri; Arsham Borumand Saeid; Masoome Zahiri

Volume 15, Issue 7 , September and October 2018, Pages 91-102

Abstract
  In this paper, we introduce the notion of co-annihilator of a subsetin a triangle algebra. It is shown that the co-annihilator of asubset is an interval valued residuated lattice (IVRL)-filter. Also, aspecial set of a triangle algebra is defined and the relationshipbetween this set and co-annihilator ...  Read More

TREE AUTOMATA BASED ON COMPLETE RESIDUATED LATTICE-VALUED LOGIC: REDUCTION ALGORITHM AND DECISION PROBLEMS

Maryam Ghorani

Volume 15, Issue 7 , September and October 2018, Pages 103-119

Abstract
  In this paper, at first we define the concepts of response function and accessible states of a complete residuated lattice-valued (for simplicity we write $\mathcal{L}$-valued) tree automaton with a threshold $c.$ Then, related to these concepts, we prove some lemmas and theorems that are applied in ...  Read More

A TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS

Adem C. Cevikel; Mehmet Ahlatcioglu

Volume 15, Issue 7 , September and October 2018, Pages 121-131

Abstract
  In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic ...  Read More

ON A FUZZY APPLICATION OF THE PARTICULATE MATTERS ESTIMATION

Filiz Kanbay; Nurten Vardar

Volume 15, Issue 7 , September and October 2018, Pages 133-143

Abstract
  The Bosphorus (Istanbul Strait) that connects the continents of Europe and Asia is too complex due to geographical conditions and have a continuously increasing maritime traffic. The length of the Bosphorus which connect the Black Sea and the  Marmara Sea is 29.9 km. The number of ships (Tanker, ...  Read More