31-08-2012, 02:37 PM
FUZZY COGNITIVE MAPS BASED CRICKET PLAYER PERFORMANCE EVALUATOR
[attachment=33013]
Abstract
Sports persons’ performance evaluation is a critical issue. The parameters used for this
purpose are vague and imprecise. We propose a fuzzy cognitive map based cricket player
performance evaluator tool that uses fuzzy logic to perform computation keeping in view the
relations among various input parameters. A very simple and effective graphical user
interface is build to use the proposed model.
INTRODUCTION
Cricket is one of the most popular sports among every class of people. Cricket is bat and ball
game played between two teams having eleven players each. Due to its tremendous
popularity, media gives more preferences to this game. It is a sport in which statistics feature
heavily [1] and these statistics give clear picture of each and every facet and players of
cricket. The International Cricket Council (ICC) is the international governing body that
organizes world cricket. It is responsible for the organization of international cricket
tournaments.
In cricket, the comparison of cricketers’ batting and bowling abilities is usually done with very
basic performance measures [2]. System of ranking is followed based on the performance of cricketers. The Reliance ICC Player Rankings is the official guide which evaluates the player
performance. In this game, the rules that evaluate a player’s performance are very crisp
rules. Due to these crisp rules, the actual performance of a player is not visible. There is a lot
of disparity in evaluating the performance of a player. It affects on his ICC rankings.
Performance is evaluated on the basis of centuries/half centuries made, rank of the team
against which the player is playing, rank of its own team, location of the match i.e. home or
away, strike rate and average. The objective of this proposed research work is to develop a
model for calculating the player’s performance using fuzzy set theory.
Related Work
L. A. Zadeh suggests a fuzzy set theoretic approach to provide a framework for representing
the meaning of propositions and dispositions [7]. Fuzzy quantifier is employed to denote the
collection of quantifiers in natural languages and the concept of cardinality of a fuzzy set is
used [8]. Michio Sugeno and Takahiro Yasukawa have proposed the use of fuzzy clustering
method for the structure identification of a fuzzy model [9]. L. A. Zadeh describes the role of
fuzzy logic in computing with words [10]. Gordon Hayward and Valerie Davidson discuss
various applications of Fuzzy logic [11]. Adnan Shaout, Brady King and Luke Reisner
presented a complete design and implementation of real time fuzzy based system for a
game named Pac-Man [4]. Marco Barajas and Bruno Agard analyze role of fuzzy logic in the
improvement of product family development process. For analyzing, they took fourteen fuzzy
logic tools and thirteen topics into the product family development process [12].
Fuzzy Cognitive Map is very simple and convenient tool used to extract and analyze different
kinds of knowledge about complex systems. Fuzzy Cognitive Maps were originally proposed
by Robert Axelrod in 1976. Then Bart Kosko [13] significantly enhanced the power of
cognitive maps considering fuzzy values for the concepts and casual relationship between
concepts. FCM model was used in different areas of applications for planning and decision
making such as engineering, physical science, military sciences etc. João Paulo Carvalho
and José A. B Tome introduce Rule Based Fuzzy Cognitive Maps and present a method to
implement Fuzzy Causal relations [14]. Fuzzy cognitive maps are used for the renewal of
water mains as a decision support tool [15], in medical decision support for the process of
predicting infectious diseases [16] and used for analyzing the major reason for suicides
using neutrosophic tool [17].
Conclusion
This paper demonstrates the evaluation of cricket player’s batting performance and the
impact of his performance on his ICC ranking. To perform the evaluation, first a FCM chart is
developed which takes into account all the parameters, called concepts, which affect the
ranking of a player. Then, a weighted matrix is generated from this FCM chart that shows the
amount of impact of one concept on another. Finally, three different scenarios of batting
performance are hypothetically assumed, which calculates the change of percentage in his
ranking.
[attachment=33013]
Abstract
Sports persons’ performance evaluation is a critical issue. The parameters used for this
purpose are vague and imprecise. We propose a fuzzy cognitive map based cricket player
performance evaluator tool that uses fuzzy logic to perform computation keeping in view the
relations among various input parameters. A very simple and effective graphical user
interface is build to use the proposed model.
INTRODUCTION
Cricket is one of the most popular sports among every class of people. Cricket is bat and ball
game played between two teams having eleven players each. Due to its tremendous
popularity, media gives more preferences to this game. It is a sport in which statistics feature
heavily [1] and these statistics give clear picture of each and every facet and players of
cricket. The International Cricket Council (ICC) is the international governing body that
organizes world cricket. It is responsible for the organization of international cricket
tournaments.
In cricket, the comparison of cricketers’ batting and bowling abilities is usually done with very
basic performance measures [2]. System of ranking is followed based on the performance of cricketers. The Reliance ICC Player Rankings is the official guide which evaluates the player
performance. In this game, the rules that evaluate a player’s performance are very crisp
rules. Due to these crisp rules, the actual performance of a player is not visible. There is a lot
of disparity in evaluating the performance of a player. It affects on his ICC rankings.
Performance is evaluated on the basis of centuries/half centuries made, rank of the team
against which the player is playing, rank of its own team, location of the match i.e. home or
away, strike rate and average. The objective of this proposed research work is to develop a
model for calculating the player’s performance using fuzzy set theory.
Related Work
L. A. Zadeh suggests a fuzzy set theoretic approach to provide a framework for representing
the meaning of propositions and dispositions [7]. Fuzzy quantifier is employed to denote the
collection of quantifiers in natural languages and the concept of cardinality of a fuzzy set is
used [8]. Michio Sugeno and Takahiro Yasukawa have proposed the use of fuzzy clustering
method for the structure identification of a fuzzy model [9]. L. A. Zadeh describes the role of
fuzzy logic in computing with words [10]. Gordon Hayward and Valerie Davidson discuss
various applications of Fuzzy logic [11]. Adnan Shaout, Brady King and Luke Reisner
presented a complete design and implementation of real time fuzzy based system for a
game named Pac-Man [4]. Marco Barajas and Bruno Agard analyze role of fuzzy logic in the
improvement of product family development process. For analyzing, they took fourteen fuzzy
logic tools and thirteen topics into the product family development process [12].
Fuzzy Cognitive Map is very simple and convenient tool used to extract and analyze different
kinds of knowledge about complex systems. Fuzzy Cognitive Maps were originally proposed
by Robert Axelrod in 1976. Then Bart Kosko [13] significantly enhanced the power of
cognitive maps considering fuzzy values for the concepts and casual relationship between
concepts. FCM model was used in different areas of applications for planning and decision
making such as engineering, physical science, military sciences etc. João Paulo Carvalho
and José A. B Tome introduce Rule Based Fuzzy Cognitive Maps and present a method to
implement Fuzzy Causal relations [14]. Fuzzy cognitive maps are used for the renewal of
water mains as a decision support tool [15], in medical decision support for the process of
predicting infectious diseases [16] and used for analyzing the major reason for suicides
using neutrosophic tool [17].
Conclusion
This paper demonstrates the evaluation of cricket player’s batting performance and the
impact of his performance on his ICC ranking. To perform the evaluation, first a FCM chart is
developed which takes into account all the parameters, called concepts, which affect the
ranking of a player. Then, a weighted matrix is generated from this FCM chart that shows the
amount of impact of one concept on another. Finally, three different scenarios of batting
performance are hypothetically assumed, which calculates the change of percentage in his
ranking.