Iranian Journal of Fuzzy Systems

Positive homogeneity is represented as a constraint 0-homogeneity and generalized into z-homogeneity, called also z-end point linearity. Several special z-homogeneous aggregation functions are studied, in particular semicopulas, quasi-copulas, copulas, overlap functions, etc. Read More

Adaptive control design for fixed-time synchronization of fuzzy stochastic cellular neural networks with discrete and distributed delay

Y. Liu; M. Liu; X. Xu

Volume 18, Issue 6 , November and December 2021, Pages 13-28

Abstract

This paper studies the fixed-time synchronization problem of fuzzy stochastic cellular neural networks (FSCNNs) with discrete and distributed delay. Compared with the finite-time synchronization in the existing literature, the fixed-time synchronization of FSCNNs is studied for the first time, and the ... Read More

Calculation of centroid of high dimensional fuzzy number and application

G. Wang; Y. Xu

Volume 18, Issue 6 , November and December 2021, Pages 29-44

Abstract

In this paper, the conception of centroid of $n$-dimensional fuzzy number is introduced viaregarding its membership function as the density function on its support set, and some properties of it are obtained. Compared with the mean of the multi dimensional fuzzy number, the centroid takes into account ... Read More

Structural topology in a category

S. N. Hosseini; R. Amini

Volume 18, Issue 6 , November and December 2021, Pages 45-54

Abstract

Several fuzzy topologies are defined and studied by different authors. In this article, we unify five of the most common fuzzy topologies existing in the literature, as well as the standard topology. This is done by introducing the notion of structural topology on objects in a category and proving that ... Read More

A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures

Y. Zhong; A. Sostak

Volume 18, Issue 6 , November and December 2021, Pages 55-66

Abstract

In this paper, a new definition of a fuzzy $k$-pseudo metric is introduced and its induced fuzzifying structures are constructed, such as a fuzzifying neighborhood system, a fuzzifying topology, a fuzzifying closure operator, a fuzzifying uniformity.Besides, it is shown that there is a ... Read More

Different classes ratio and Laplace summation operator based intuitionistic fuzzy rough attribute selection

S. Shreevastava; S. Singh; A. K. Tiwari; T. Som

Volume 18, Issue 6 , November and December 2021, Pages 67-82

Abstract

In real-world data deluge, due to insignificant information and high dimension, irrelevant and redundant attributes reduce the ability of experts both in predictive accuracy and speed, respectively. Attribute selection is the notion of selecting those attributes that are essential as well as enough to ... Read More

A fuzzy approach to review-based recommendation: Design and optimization of a fuzzy classification scheme based on implicit features of textual reviews

S. Hasanzadeh; S. M. Fakhrahmad; M. Taheri

Volume 18, Issue 6 , November and December 2021, Pages 83-99

Abstract

In the design of recommender systems, it is believed that the set of reviews written by a user can somehow reveal his/her interests, and the content of an item can also be implied from its corresponding reviews. The present study attempts to model both the users and the items via extracting key information ... Read More

Design and analysis of acceptance sampling plans based on intuitionistic fuzzy linguistic terms

G. Isik; I. Kaya

Volume 18, Issue 6 , November and December 2021, Pages 101-118

Abstract

Acceptance sampling plans (ASPs) offer inspection of a small set of items from a lot within a predefined plan to procure a certain output quality level with minimum cost in terms of time, effort, and damage to the inspected items. Although traditional ASPs use crisp plan parameters, quality characteristics ... Read More Acceptance sampling plans (ASPs) offer inspection of a small set of items from a lot within a predefined plan to procure a certain output quality level with minimum cost in terms of time, effort, and damage to the inspected items. Although traditional ASPs use crisp plan parameters, quality characteristics of the incoming items or human evaluations about inspection process may contain uncertainties and may not always be defined as crisp values in real life problems. The fuzzy set theory (FST) is one of the most popular techniques to model these uncertainties by defining plan parameters as fuzzy numbers. Despite the advantages, traditional fuzzy sets are not flexible enough to model all kinds of uncertainties. For example, it has some disadvantages because of defining the status of any item based on defectiveness or non-defectiveness conditions and presuming the parts as non-defective whose defectiveness is not indeed determined. New extensions of FST can improve the quality of uncertainty modeling of ASPs. Intuitionistic Fuzzy Sets (IFSs) allow slackness for non-determination about the membership and give more sensitive modeling opportunity in human-related evaluations by the help of this ability. Since the inspection procedure of the ASPs depends on human-related judgements, IFSs have been used to define the defectiveness degree of the items in this study. ASPs based on interval-valued IFSs (IVIFSs) have also been designed and some characteristic functions of ASPs, such as acceptance probability ($P_a$), average sample number ($ASN$) and average total inspection ($ATI$) have been reformulated. Intuitionistic binomial and Poisson distributions have been defined to be able to formulate the ASPs. Additionally, the defectiveness of the items has been represented by using linguistic terms to overcome the difficulty of quantifying the verbal evaluation results as numerical measures. The $\alpha$-cut technique has been combined with the linguistic approach to allow defining with multiple $\alpha$ values for different product segments. Finally, some numerical examples have been presented to analyze the effectiveness of proposed ASPs and discuss the obtained results.

A normalized distribution mechanism under multi-criteria situations and fuzzy behavior

Y. H. Liao

Volume 18, Issue 6 , November and December 2021, Pages 119-131

Abstract

In general, agents always face an increasing need to focus on multiple aims efficiently under their operational processes. However, agents might take different activity levels to participate and might represent administrative areas of different scales. Therefore, this paper proposes a normalized index ... Read More

A novel fuzzy sliding mode control approach for chaotic systems

R. Khalili Amirabadi; O. S. Fard; A. Mansoori

Volume 18, Issue 6 , November and December 2021, Pages 133-150

Abstract

The purpose of this paper is to study the stabilization problem for a class of uncertain chaotic systems against unknown dynamics and disturbances, based on fuzzy sliding mode controller approaches. To fulfill this aim, the first- and the second-orders sliding mode controllers and an adaptive variable ... Read More

Interval discrete fractional calculus and its application to interval fractional difference equations

R. Beigmohamadi; A. Khastan

Volume 18, Issue 6 , November and December 2021, Pages 151-166

Abstract

In this work, we present some useful results of discrete fractional calculus for \ivf s. The composition rules for interval fractional operators are introduced, which are used to construct the general form of the solutions to nonlinear interval fractional difference equations. An illustrative example ... Read More

A visual social network group consensus approach with minimum adjustment based on Pythagorean fuzzy set

Y. Liu; W. X. Diao; J. Yang; J. H. Yi

Volume 18, Issue 6 , November and December 2021, Pages 167-183

Abstract

People's demand for the decision-making space of opinion expression is getting higher, and the methods to determine the threshold value of current consensus still remain elusive. To deal with large and diverse information of users and discuss deeply the threshold in social networks, we establish a new ... Read More

Fuzzy arithmetic with product t-norm

G. Soylu; M. E. Aslan

Volume 18, Issue 6 , November and December 2021, Pages 185-197

Abstract

Fuzzy arithmetic performed with the product t-norm is the focus of this paper. The subject is handled from both practical and theoretical perspectives. Explicit formulas for product-sum and product-multiplication of triangular fuzzy numbers are obtained. These formulas can effectively replace the computational ... Read More

translate 18-6 December 2021

Volume 18, Issue 6 , November and December 2021, Pages 201-213

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 15 (2018)

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)

Volume & Issue: Volume 18, Issue 6, November and December 2021, Pages 1-197

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