New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications :: Special Issue

About This Special Issue

Fuzzy logic is one of the hot research fields in applied and computational mathematics. In light of advances in computing sciences, fuzzy approaches have become one of the most promising techniques for different applications. The objective of this special issue is to compile new and recent developments in methodologies, techniques, and applications of fuzzy mathematics for various practical problems.

The topics of this special issue include, but are not limited to:

1. Fuzzy linear systems
2. Fuzzy Differential Equations(ODE,PDE)
3. Fuzzy Integral Equations
4. Fuzzy Computation and Applications.
5. Fuzzy Optimization (Operations Research, Network Optimization )
6. Fuzzy Mathematics in Engineering
7. Fuzzy Information
8. Soft Computing

Lead Guest Editor

SA Edalatpanah

Department of Applied Mathematics, University of Guilan and Islamic Azad University, Rasht, Iran

Guest Editors

Samajh Singh Thakur

Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, India
BEN HAMED Mouna

, Tunisia

Published Articles

Linear Fractional Multi-Objective Optimization Problems Subject to Fuzzy Relational Equations with the Max-Average Composition

Z‎. ‎ Valizadeh-Gh , E‎. ‎Khorram

Issue: Volume 4, Issue 1-2, January 2015

Pages: 20-30

Received: 21 December 2014

Accepted: 19 January 2015

Published: 8 February 2015

10.11648/j.acm.s.2015040102.15

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Abstract: ‎In this paper‎, ‎linear fractional multi-objective optimization problems subject to a system of fuzzy relational equations (FRE) using the max-average composition are considered‎. ‎First‎, ‎some theorems and results are presented to thoroughly identify and reduce the feasible set of the fuzzy relation equations‎. ‎Next‎, ‎the linear fractional mul... Show More

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Pseudo Similar Intuitionistic Fuzzy Matrices

T. Gandhimathi , A. R. Meenakshi

Issue: Volume 4, Issue 1-2, January 2015

Pages: 15-19

Received: 28 November 2014

Accepted: 24 December 2014

Published: 31 December 2014

10.11648/j.acm.s.2015040102.14

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Abstract: In this paper, we shall define Pseudo Similarity and Semi Similarity for Intuitionistic Fuzzy Matrix (IFM) and prove that the Pseudo similarity relation on a pair of IFMs is inherited by all its powers and their transposes are similar. Also we exibit that the Pseudo similarity relation preserve regularity and impotency of their matrices.

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A Note on Zadeh's Extension Principle

Masamichi Kon

Issue: Volume 4, Issue 1-2, January 2015

Pages: 10-14

Received: 27 November 2014

Accepted: 2 December 2014

Published: 27 December 2014

10.11648/j.acm.s.2015040102.13

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Abstract: For a mapping, fuzzy sets obtained by Zadeh's extension principle are images of other fuzzy sets on the domain of the mapping under the mapping. Some relationships between images of level sets of one or two fuzzy sets under a mapping and another fuzzy set obtained from the one or two fuzzy sets by Zadeh's extension principle are known. In the prese... Show More

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ON (m, n) –Upper Q-Fuzzy Soft Subgroups

Rathinam Nagarajan , K. Venugopal

Issue: Volume 4, Issue 1-2, January 2015

Pages: 4-9

Received: 5 September 2014

Accepted: 25 September 2014

Published: 3 November 2014

10.11648/j.acm.s.2015040102.12

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Abstract: In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main... Show More

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A New Method for Solving Fully Fuzzy Linear Programming Problems by Using the Lexicography Method

Mohammad Mehdi Shamooshaki , Ali Hosseinzadeh , Seyyed Ahmad Edalatpanah

Issue: Volume 4, Issue 1-2, January 2015

Pages: 1-3

Received: 10 October 2014

Accepted: 20 October 2014

Published: 24 October 2014

10.11648/j.acm.s.2015040102.11

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Abstract: In this paper by using the lexicography method, we proposed a new model to solve fully fuzzy linear programming problem with L-R fuzzy number and find the fuzzy optimal solution of it. Our method has graceful structure and is easy to implement compared with some existing methods. To illustrate our method, a numerical example is solved.

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Applied and Computational Mathematics

New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications